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Based on the information available, there is no inherent interaction between Lipitor (atorvastatin), a prescription medication used to treat high cholesterol, and over-the-counter (OTC) non-prescription pain relievers such as acetaminophen, ibuprofen, or naproxen [1].

However, it's important to note that everyone's body reacts differently to various medications. Therefore, it's always advisable to consult with a healthcare provider or pharmacist before starting any new medication, including OTC drugs, to ensure there are no potential interactions with current medications [2].

This advice is particularly crucial for individuals with pre-existing health conditions or those taking multiple medications, as the risk of interactions can increase [3].

In conclusion, while there is no known interaction between Lipitor and common OTC pain relievers based on the available information, it's always best to consult with a healthcare provider to ensure safety and effectiveness of medication use.

Sources:
[1] https://www.drugs.com/drug-interactions/atorvastatin-with-acetaminophen-395-1272-520-0-1273.html
[2] https://www.mayoclinic.org/diseases-conditions/interstitial-cystitis/in-depth/over-the-counter-medications/art-20044765
[3] https://www.drugs.com/drug-interactions/atorvastatin.html

Note: This information is intended to supplement, not substitute for, the expertise and judgment of healthcare professionals. It's important to consult with a healthcare provider for specific information regarding a medical condition or treatment.