This study investigates the global characteristics and temperature sensitivities of extreme precipitation events (EPEs), particularly those preceded by extreme heat stress (EPE-Hs), compared to those without (EPE-NHs). Using reanalysis and Earth System Model data, the findings reveal that EPE-Hs, though less frequent, have longer durations and greater magnitudes, especially in high latitudes. Future projections indicate a significant increase in EPE-Hs characteristics, contrasting with stable EPE-NHs. EPE-Hs show much higher temperature sensitivity, particularly in low latitudes. The precipitation-temperature scaling relationships differ significantly between EPE-Hs and EPE-NHs, with regional variations. These results are crucial for developing region-specific early warning and adaptation strategies for extreme precipitation under global warming.