diff --git a/app.py b/app.py
index 29ef1b7..231d6a0 100644
--- a/app.py
+++ b/app.py
@@ -492,7 +492,7 @@ def percent_left_from_used(value: Any) -> Optional[int]:
     """Convert a used percentage into a clamped remaining percentage."""
     try:
         used_percent = int(value)
-    except (TypeError, ValueError):
+    except (TypeError, ValueError, OverflowError):
         return None
     return max(0, min(100, 100 - used_percent))
 
@@ -676,7 +676,11 @@ def token_count_value(value: Any) -> int:
     """Return a non-negative token count from a session usage value."""
     if not isinstance(value, (int, float)):
         return 0
-    return max(0, int(value))
+    try:
+        count = int(value)
+    except (ValueError, OverflowError):
+        return 0
+    return max(0, count)
 
 
 def parse_codex_timestamp(value: Any) -> Optional[datetime]:
diff --git a/tests/test_vibe_status.py b/tests/test_vibe_status.py
index 18ae319..4142c45 100644
--- a/tests/test_vibe_status.py
+++ b/tests/test_vibe_status.py
@@ -818,12 +818,16 @@ def test_percent_left_from_used_clamps_and_rejects_invalid_values(self):
         self.assertEqual(app.percent_left_from_used(-10), 100)
         self.assertEqual(app.percent_left_from_used(999), 0)
         self.assertIsNone(app.percent_left_from_used("bad-value"))
+        self.assertIsNone(app.percent_left_from_used(float("inf")))
+        self.assertIsNone(app.percent_left_from_used(float("nan")))
 
     def test_token_count_value_clamps_negative_and_rejects_non_numeric_values(self):
         self.assertEqual(app.token_count_value(42), 42)
         self.assertEqual(app.token_count_value(3.8), 3)
         self.assertEqual(app.token_count_value(-5), 0)
         self.assertEqual(app.token_count_value("5"), 0)
+        self.assertEqual(app.token_count_value(float("inf")), 0)
+        self.assertEqual(app.token_count_value(float("nan")), 0)
 
     def test_dict_or_empty_rejects_non_object_values(self):
         payload = {"ok": True}