diff --git a/CHANGELOG.md b/CHANGELOG.md
index 0497ac3508..fadc1f0c40 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -3,6 +3,10 @@
 This document records all notable changes to [HTTPie](https://httpie.io).
 This project adheres to [Semantic Versioning](https://semver.org/).
 
+## [unreleased](https://github.com/httpie/cli/compare/3.2.4...master)
+
+- Fixed an unhandled `OverflowError`/`MemoryError` crash when an out-of-range array index was used in the nested JSON syntax (e.g. `item[99999999999999999999999]:=1`); a clear error is now reported instead.
+
 ## [3.2.4](https://github.com/httpie/cli/compare/3.2.3...3.2.4) (2024-11-01)
 
 - Fix default certs loading and unpin `requests`. ([#1596](https://github.com/httpie/cli/issues/1596))
diff --git a/httpie/cli/nested_json/interpret.py b/httpie/cli/nested_json/interpret.py
index 71fad98acd..659102af3e 100644
--- a/httpie/cli/nested_json/interpret.py
+++ b/httpie/cli/nested_json/interpret.py
@@ -84,7 +84,15 @@ def object_for(kind: PathAction) -> Any:
                     message='Negative indexes are not supported.',
                     message_kind='Value',
                 )
-            cursor.extend([None] * (path.accessor - len(cursor) + 1))
+            try:
+                cursor.extend([None] * (path.accessor - len(cursor) + 1))
+            except (OverflowError, MemoryError):
+                raise NestedJSONSyntaxError(
+                    source=key,
+                    token=path.tokens[1],
+                    message='The index is too large.',
+                    message_kind='Value',
+                ) from None
             if next_path.kind is PathAction.SET:
                 cursor[path.accessor] = next_path.accessor
                 break
diff --git a/tests/test_json.py b/tests/test_json.py
index e758ebe7f4..47e84871c1 100644
--- a/tests/test_json.py
+++ b/tests/test_json.py
@@ -538,6 +538,18 @@ def test_nested_json_syntax(input_json, expected_json, httpbin):
             ['foo[-10]:=[1,2]'],
             'HTTPie Value Error: Negative indexes are not supported.\nfoo[-10]\n    ^^^',
         ),
+        (
+            ['foo[99999999999999999999999]:=1'],
+            'HTTPie Value Error: The index is too large.'
+            '\nfoo[99999999999999999999999]'
+            '\n    ^^^^^^^^^^^^^^^^^^^^^^^',
+        ),
+        (
+            ['foo[1000000000000000000]:=1'],
+            'HTTPie Value Error: The index is too large.'
+            '\nfoo[1000000000000000000]'
+            '\n    ^^^^^^^^^^^^^^^^^^^',
+        ),
         (
             ['foo[0]:=1', 'foo[]:=2', 'foo[\\2]:=3'],
             "HTTPie Type Error: Cannot perform 'key' based access on 'foo' which has a type of 'array' but this operation requires a type of 'object'.\nfoo[\\2]\n   ^^^^",