The wireless keyboard “Logitech K400″ with integrated touchpad is supported by Linux. The communication between keyboard an PC uses the standard Logitech Unifying Receiver, which is recognized by the Linux kernel (e.g. since Ubuntu 10.10) in the following way:
Bus 003 Device 002: ID 046d:c52b Logitech, Inc. Unifying Receiver
Multitouch gestures like “Two-Finger-Scroll” as well as the media hot keys (volume control, mute) are supported without further configuration since Ubuntu 10.10.