Plug housing, Header plug, board mount connector, plug header, board mount plugs

 DF17 Series 40 Position Board Mount 0.5 mm Pitch Surface Mount Header

https://www.futureelectronics.com/p/interconnect--pin-and-socket-connectors--header-plug-board-mount/df17-4-0-40dp-0-5v-57-hirose-electric-6159548