"Hani" does not directly translate to anything, but rather identifies the people and their language.
However, the Hani people themselves call their language "Akha", "A-kha", "A-k'a", "A-xa", or other variations depending on the specific dialect. These terms might be related to the concept of "brotherhood", "brotherly", or "sibling" in their culture, but there's no universally accepted meaning.
Therefore, when you ask what the Hani language means, you're asking for the meaning of a cultural identifier rather than a literal translation.