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The elastic and plastic properties, generalized stacking-fault energy, surface energy, and electronic properties of Al_xFeCuCrNi high-entropy alloys are studied via first-principle calculations. The present work is performed by employing density-functional theory within the general gradient approximation and virtual crystal approximation model. The increasing Al concentration enhances Young's modulus, bulk modulus and shear modulus, but it reduces the ductility based on the investigation of Cauchy pressure, ratio between shear modulus and bulk modulus, and Poisson's ratio. Besides, all Al_xFeCuCrNi (0.1 ≤ x ≤ 1) high-entropy alloys are elastic anisotropic materials. In addition, the high Al concentration results in the large generalized stacking-fault energy and surface energy in Al_xFeCuCrNi high-entropy alloys, which cause the possibility of dislocation nucleation and the inhibition of nanocrack formation.