  I consider 4-dimensional Schr\"odinger operator with the generic
non-degenerating magnetic field and for a generic potential I derive spectral
asymptotics with the remainder estimate $O(\mu^{-1}h^{-3})$ and the principal
part $\asymp h^{-4}$ where $h\ll 1$ is Planck constant and $\mu \gg 1$ is the
intensity of the magnetic field. For general potentials remainder estimate
$O(\mu^{-1}h^{-3}+\mu^2h^{-2})$ is achieved.
