In one aspect, provided herein is a mosaic influenza virus hemagglutinin (HA) polypeptide comprising an influenza A virus HA ectodomain of an influenza A virus strain HA, wherein the HA ectodomain comprises an HA stem domain of the influenza A virus strain HA and an HA globular head domain of the influenza A virus strain HA, wherein the HA globular head domain of the influenza A virus strain HA has been engineered to comprise one or more amino acid substitutions in one, two, three, four or all of the antigenic sites. In another aspect, provided herein are immunogenic compositions comprising such a mosaic influenza virus HA polypeptide or an influenza A virus comprising such a mosaic influenza virus HA polypeptide. In yet another aspect, provided herein are methods for immunizing a subject against an influenza A vims in a subject comprising administering such an immunogenic composition to the subject.