What makes the 1944 Wheat penny a special coin is the fact that some specimens were accidentally minted on a steel planchet. In 1943, all pennies were minted on a steel planchet instead of copper, this change was caused by war and lack of copper.
However, as you can see your coin is made from copper so unfortunately its value isn’t much, maybe from its face value and up to $1. On the other hand, uncirculated specimens can be much more valuable. You can investigate the potential price ranges on this site:
● Circulated coins are estimated to be worth their face value,
● MS63 will sell for $8,
● MS64 will earn you $14,
● While the highest MS68 grade can earn around $13,000.