Polypeptide compositions comprising a human immunoglobulin constant region with a modified IgG4 hinge region having an N-terminal deletion of 1, 2, 3, 4, 5 amino acids, relative to a native human IgG4 hinge sequence are provided. In some embodiments the hinge sequence further comprises the amino acid substitution S228P (Eu numbering). Polypeptides comprising the modified sequence optionally comprise a binding moiety specific for an epitope that is present on red blood cells; and can provide for reduced agglutination of hematopoietic cells compared to a comparable polypeptide with a native hinge region.