I claim the ornamental design for the hair band with audio player button thereon, as shown and described.
FIG. 1 is a perspective view of the hair band with audio player button thereon.
FIG. 2 is a front view of the claimed design.
FIG. 3 is a rear view of the claimed design.
FIG. 4 is a left side view of the claimed design.
FIG. 5 is a top view of the claimed design; and,
FIG. 6 is a perspective view of the claimed design with a hair bow. The hair bow of FIG. 6 is in broken lines, and forms no part of the claimed design.