Is there any crime for a male person the age over 40 to hang out with a 16 year old girl not having any relation but friends...

If there is no sexual contact there is no sexual offense; however, that's not to say there isn't risk for the 40 year old. The parents or legal guardians of the 16 year old should know her whereabouts, the nature of the relationship with the 40 year old and consent to the "hanging out". There is no crime in what you described but certainly there is RISK of misunderstanding and misinterpretation. The legal risk and ramifications would land on the 40 year old.