[en] The results of measurements of the inclusive cross sections for production of cumulative protons in π^- (K^-, bar p)Be, Al, Cu, Pb interactions at 40 GeV/c are presented. Protons were detected in the angular range 150-165 degree and in the kinetic-energy range 0.1-0.3 GeV. The ratios of the invariant cross sections for various types of beam particles do not depend on the kinetic energy or on the type of nucleus: left-angle line-integral _K / line-integral _π right-angle = 0.87 ± 0.03_stat ± 0.03_syst, and left-angle line-integral _barp / line-integral _π right-angle = 1.82 ± 0.10_stat ± 0.05_syst. No dependence on A was observed for the slope parameter of the cross sections at a level of about 2% for A ≥ 27. An increase of the ratios of the cross sections, line-integral _A (A) / line-integral _A (Be), at values of the cumulative number x_K > 2 can be considered as an indication that the probabilities of production in light and heavy nuclei of objects with a mass exceeding two-nucleon masses are different