Most large companies in Silicon Valley give men between four and eight weeks of paternity leave, which you can take any time you want (not just right after the baby is born).
I don't know what it would mean if they didn't, though. I think many successful people have trouble believing that their work will be done well in their absence.
There are issues around vacation, especially "unlimited PTO" as a perk, but no one seems shy about paternity and maternity leave.