Anyone interested in both Wittgenstein and film should see Derek Jarman's "Wittgenstein" --

https://en.wikipedia.org/wiki/Wittgenstein_(film)

I don't know enough to comment on its biographical accuracy but it's a great weird movie by one of the greatest experimental directors of our age.

[Edit: mentioned in TFA but very briefly. Not sure where to watch it now but... internets...]