If it were 1340 injections in 800 days, it would better fit and possibly support the story, especially the begin:

"At the end, when he was already hiding in his wet and dark Fuhrerbunker and his beloved Eukodal was no longer available, the dictator was in a frail state."

But the statement "the first in 1943, when the Americans landed in Sicilia" gives us the begin date: 10th of July 1943, only 660 days before the famous suicide.