Here are some terms that might be helpful to know. I have taken these thirteen words and their respective definitions from The Divine Attributes (written by Joshua Hoffman and Gary S. Rosenkrantz). See pp. 9-13:
1. Hecastotheistic-Pertaining to the belief that every sort of object has supernatural powers.
2. Ditheism-Refers to a belief in two gods. For instance, Hippolytus of Rome was called a "ditheist" by "Pope" Callistus.
3. Myriotheism-The belief in a countless number of gods.
4. Zootheism-Also known as theriotheism. Refers to the belief in animal gods.
5. Anthropotheism-The belief that the gods originated as men or that they are men with respect to their essence (nature).
6. Herotheism-The worship of deified humans.
7. Autotheism-The worship (deification) of oneself.
8. Monotheism-The belief in one God.
9. Henotheism-Worshiping one god without rejecting the belief that other gods exist.
10. Kathenotheism-The worship of one god at a time as supreme. It allows for a succession of "supreme gods."
11. Psychotheism-The belief in a wholly spiritual God or gods.
12. Physitheism-The belief in a God or gods that is/are physical in nature.
13. Hylotheism-Identifies God with matter.