The invention relates to a method for producing a coated, chemically prestressed glass substrate having anti-fingerprint properties. The method includes: applying at least one functional layer to a glass substrate; chemically prestressing the coated glass substrate by an ion exchange, where existing smaller alkali metal ions are exchanged for larger alkali metal ions, and are enriched in the glass substrate and the at least one functional layer; activating the surface of the at least one functional layer, where if more than one functional layer is present the surface of the outermost or uppermost layer is activated, the activating including one of several alternatives; and applying an amphiphobic coating to the at least one functional layer of the glass substrate, where, as a result of the activation process, the functional layer interacts with the amphiphobic coating.