There are several synonyms for the phrase "not have a penny to your name". Some other phrases that convey the same meaning include "penniless", "broke", "bankrupt", "destitute", "impoverished", "poor", "devoid of resources", "have no money", "financially disadvantaged" and "without any means". All these terms mean that someone is lacking in financial resources and don't have any money to their name. These phrases are often used in situations where people are struggling to get by, either due to unemployment, debt, or other financial challenges. Regardless of the term used, the message is the same - the person is struggling to make ends meet.