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In this paper, we have studied the structural, electronic, magnetic, elastic and thermodynamic properties of the cubic perovskite system C r 4 N using the first-principles calculations based on density functional theory (DFT) with the generalized gradient approximation (GGA). Our results show that the C r 4 N is more stable in a ferrimagnetic configuration (FIM) and in a ferromagnetic arrangement (FM), C r 4 N is nonmagnetic compound (NM). Density of States (DOS) and band structure calculations show a metallic behavior of C r 4 N. The calculated elastic constants satisfy the Born mechanical stability criterion. Based on the calculated data of Poisson's ratio, C r 4 N have ionic bonding. According to the B/G values, the compound under investigation is found to be brittle nature in FIM configuration and ductile nature in FM and NM configurations. The exchange interactions of C r 4 N , were calculated to obtain the critical temperature (T C) from Monte Carlo calculations. The obtained value of T C (295 K) is in good agreement with other theoretical works. • C r 4 N has a metallic behavior. • The calculated specific heat C v of C r 4 N exhibits Dulong–Petit at high temperature. • The Poisson's ratio shows that C r 4 N have ionic bonding. [ABSTRACT FROM AUTHOR]