We investigate the quantum dynamics of a one-dimensional spin-1/2 XX chain with anisotropic four-spin interactions (AFSI), focusing on its response to sudden quenches and its performance as a quantum battery. In the first part of our study, we analyze dynamical quantum phase transitions (DQPTs) resulting from quenches across different regions of the ground-state phase diagram. DQPTs emerge when the quench connects phases with different winding numbers. Crucially, we prove analytically that the dynamical topological order parameter remains identically zero for all quenches, including those across topological phase boundaries. This symmetry-induced cancellation reveals a fundamental decoupling between equilibrium topology and dynamical topological characterization. In the second part, we propose a quantum battery protocol driven by anisotropy quenches and investigate its energy storage performance. We show that the effective stored energy is highly sensitive to the initial and final anisotropy parameters and is maximized when the final Hamiltonian lies on the critical line, ${\beta }_c=1$, where the interaction becomes isotropic. Crucially, we uncover a direct link between nonequilibrium dynamics and charging behavior: for quenches performed far from the critical lines, both the stored energy and the power exhibit pronounced enhancements at the critical times where DQPTs occur. This establishes DQPTs as reliable dynamical markers for optimal charging performance. Our results demonstrate the interplay among topology, criticality, and nonequilibrium quantum dynamics, revealing new pathways for designing high-performance quantum batteries based on interaction symmetry and dynamical critical phenomena.

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• Dynamical phase transitions
• Quantum phase transitions
• Topological phase transition