The philosophical position that holds that God exists but one doesn't care is known as "Apatheism" or "Practical Atheism."
Apatheism: Apatheism is derived from the combination of the words "apathy" and "theism." It is the attitude of apathy or lack of interest towards the question of God's existence. Apatheists may acknowledge that the concept of God exists in various religious or philosophical beliefs, but they simply do not find the question of God's existence relevant to their lives. They neither affirm nor deny the existence of God and may feel indifferent or uninterested in the topic altogether.
Practical Atheism: Practical atheism is a similar concept but is more focused on the practical aspects of life. Someone who identifies as a practical atheist may not actively deny the existence of God, but they live their life as if God does not exist. In other words, their day-to-day actions, decisions, and behaviors are not influenced by religious beliefs or considerations of divine presence. They may not engage in religious practices or seek spiritual guidance in their life.
Both apatheism and practical atheism describe attitudes of disinterest or indifference towards the question of God's existence rather than asserting that God definitively does not exist. It's essential to note that philosophical positions about God's existence are diverse, and individuals' beliefs can fall along a wide spectrum, ranging from strong theism to strong atheism and everything in between.