Every fingering that fits a hand
1344
moderate
x896
easy
What is true of it
A♭sus4 is A♭, D♭ and E♭ — 1, 4 and 5 counted from A♭.
These are also the notes of D♭sus2/A♭ and C♯sus2/A♭. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 2 fingerings below is 1344: 4 fingers, held at the 1st fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
Where its notes are on the neck
The brass dots are A♭, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
A♭sus4/D♭
6344
A♭sus4/E♭
x344
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.