Except a 4xx error should not be issued for internal errors.
A perhaps-reasonable suggestion could be to use a 5xx range code that isn't specified. E.g. 555, or 567.
(But I'm not sure how it would ever not simply be a 500 - server thought it couldn't happen, it could and did, that's just a plain and simple error isn't it?)
But it works in this example for "client did something weird I don't understand", so still client error - something akin to a 404, "client tried to go somewhere I don't understand".
But 'client did something weird I don't understand' is a 400, 405, something; not the same as 'this cannot happen' at all.