  Superconductivity in topological quantum materials is much sought after as it
represents the key avenue to searching for topological superconductors, which
host a full pairing gap in the bulk but Majorana bound states at the surface.
To date, however, the simultaneous realization of nontrivial band topology and
superconductivity in the same material under ambient conditions remains rare.
In this paper, we study both superconducting and topological properties of a
binary compound PtPb$_{4}$ ($T_c$ $\sim$ 2.7 K) that was recently reported to
exhibit large Rashba splitting, inherent to the heavy 5$d$ Pt and 6$p$ Pb. We
show that in PtPb$_{4}$, the specific heat jump at $T_c$ reaches $\Delta
C/\gamma T_{c}$$\sim$1.70$\pm0.04$, larger than 1.43 expected for the
weak-coupling BCS superconductors. Moreover, the measurement of quantum
oscillation suggests the possibility for a topological band structure, which is
further studied by density functional theory calculations. Our study may
stimulate future experimental and theoretical investigations in this intriguing
material.
