For \( n = 4 \), the subshells are 4s (1 orbital), 4p (3 orbitals), 4d (5 orbitals), and 4f (7 orbitals). Each subshell has exactly one orbital with a magnetic quantum number \( m_l = 0 \). Consequently, there is one such orbital from 4s, one from 4p, one from 4d, and one from 4f. The total count of orbitals with \( n = 4 \) and \( m_l = 0 \) is therefore 4.