1) without distraction, without solicitude or anxiety or care
Part of Speech: adverb
Adverb from a compound of G1 (as a negative particle) and a presumed derivative of G4049; undistractedly, that is, free from (domestic) solicitude: - without distraction.
These two sites give similar information, with the definition from several dictionaries and statistics on the use of the word.
Perseus Digital Library
University of Chicago's Logion lexicon
Thayer's dictionary plus other information.
From this site's dictionary (in Italian)
Click on the first column to search for that word as a form of the root ἀπερισπάστως; click on the second column to search for that grammatical form of the root ἀπερισπάστως; click on the third column to search for that word and grammatical form; click on the total to search for the root ἀπερισπάστως.