Summary: We estimate analytically the critical coupling separating the weak and the strong coupling regime in 4D simplicial quantum gravity to be located at \(k_2^{\text{crit}}\simeq 1.3093\). By carrying out a detailed geometrical analysis of the strong coupling phase we argue that the distribution of dynamical triangulations with singular vertices and singular edges, dominating in such a regime, is characterized by distinct subdominating peaks. The presence of such peaks generates volume-dependent pseudo-critical points: \(k_2^{\text{crit}}(N_4=32000)\simeq 1.25795\), \(k_2^{\text{crit}}(N_4=48000)\simeq 1.26752\), \(k_2^{\text{crit}}(N_4=64000)\simeq 1.27466\), etc., which appear in good agreement with available Monte Carlo data. Under a certain scaling hypothesis we analytically characterize the (canonical) average value, \(c_1(N_4;k_2)=\langle N_0\rangle /N_4\), and the susceptibility, \(c_2(N_4;k_2)=(\langle N_0^2\rangle-\langle N_0\rangle^2)/N_4\), associated with the vertex distribution of the 4D triangulations considered. Again, the resulting analytical expressions are found in quite a good agreement with their Monte Carlo counterparts.