Cargolux is based at Luxembourg's Findel airport. It operates 12 747-400F, the newest one was just delivered on 23rd August.
The company benefits from its single type fleet, i.e. all pilots are licensed to fly all aircraft, same for the mechanics on the maintenance side and of course for the spare parts (well, 5 aircraft have GE engines while 7 have RR engines, but besides that they are identical).
Luxembourg itself is a small country with not much industry, it is more famous for its banks and for the media business (RTL TV, Astra satellite). So the majority of the cargo is trucked from origins (or in the other directions to destinations) all over Europe. There are regular Road Feeder Services to many places, plus others that can be customized for bigger shipments. Different than e.g. Lufthansa or Air France, Cargolux only deals with forwarders while LH and AF also take cargo from shippers directly. Of course there are also lots of transfer shipments like HKG-LUX-MEX.
The network serves all continents and includes destinations like Seattle, New York, San Francisco, Houston, Portland, Los Angeles, Calgary, Mexico, Guadalajara, Bogota, Latacunga, Buenos Aires, Santiago de Chile, Abidjan, Accra, Johannesburg, Nairobi, Dubai, Sharjah, Kuwait, Abu Dhabi, Damascus, Istanbul, Beirut, Karachi, Tehran, Baku, Chennai, Singapore, Hong Kong, Bangkok, Kuala Lumpur, Penang, Taipei, Shanghai, Manila, Komatsu, Melbourne, Auckland plus some places in Europe which are a stop on the way to or from long haul destinations, just like Vitoria, Manchester, Prestwick, Budapest.
Distribution from the Cargolux gateways to the actual destinations of the shipments is either done by truck or via interline agreements with a number of other carriers - if the cargo is not picked up directly at the gateway.
@Bigo747 : The routing is actually LUX-KUL-MEL-AKL-LAX-GDL-LUX