One way would be to find a list of all A340s EK has then use this site
http://data.flight24.com to see where the planes go. You can search by aircraft registration.
For example, the A340-500 with reg A6-ERJ has been to CMN, SEZ, NBO, DAR, ABJ, ACC, TUN, LOS and BEY lately.
http://data.flight24.com/airplanes/a6-erj