The term for the stage in the cell cycle where the cell is not dividing is called interphase. This phase accounts for the majority of a cell's life cycle and consists of three main subphases: G1 (first gap), S (synthesis), and G2 (second gap). During interphase, the cell grows, duplicates its DNA, and prepares for mitosis or meiosis. Interphase is essential for ensuring that the cell is adequately prepared for the subsequent division, making it a critical period for cellular health and functionality.