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We report on magnetic characteristics in four-layered high-T_csuperconductors Ba_2Ca_3Cu_4O_8(F_yO_{1-y})_2 with apical fluorine through Cu-and F-NMR measurements. The substitution of oxygen for fluorine at the apicalsite increases the carrier density (N_h) and T_c from 55 K up to 102 K. The NMRmeasurements reveal that antiferromagnetic order, which can uniformly coexistwith superconductivity, exists up to N_h = 0.15, which is somewhat smaller thanN_h = 0.17 being the quantum critical point (QCP) for five-layered compounds.The fact that the QCP for the four-layered compounds moves to a region of lowercarrier density than for five-layered ones ensures that the decrease in thenumber of CuO_2 layers makes an interlayer magnetic coupling weaker.

Antiferromagnetic phase transition in four-layered high-T_c superconductors Ba_2Ca_3Cu_4O_8(F_yO_{1-y})_2 with T_c=55-102 K: Cu- and F-NMR studies