Sorry for your loss. Death may be the most absolute part of life - don’t cry because it’s over smile because it happened. It’s okay to never “get over” something but wish you strength to overcome the immediate difficulties.
Exactly. In this savage universe where death is unavoidable, this is a great help. From all the possibilities in this vast universe, you happen to exist and so did your father and you had a chance to interact. The fact that OP is crying after a month, means it was good. Remember the good days, what good things you said to each other, etc. I'm sure there is a lot of it. Some people's relationships with their parents don't allow for this, unfortunately, so cherish it.
Things will be fine.