A website sells custom messenger bags in 4 sizes. For each​ size, there are 52 ​color/fabric combinations. Any of these 52 can be chosen for the​ left, center, and right panel. In​ addition, there are 18 different choices of binding​ color, 27 choices of logo​ color, 11 choices of liner​ color, and 49 choices of strap pad color. There are 4 choices for the interior style. The bag can be​ right- or​ left-handed. It can be ordered with or without a grab​ strap, a chiller​ insert, a camera​ insert, and a water bottle pocket. How many different bags are​ possible?