Packing a Dan Soder Share definition Flag Based on the popular stand-up comedian, packing a Dan Soder is in reference to having a penis with an abnormally large head. "OMG Becky, the guy in the grey sweatpants over there is packing a Dan Soder." Packing a Dan Soder by Essdogger October 24, 2023 Get the Packing a Dan Soder mug.