We report on muon spin rotation/relaxation and Sn nuclear magnetic resonance (NMR) measurements to study the microscopic superconducting and magnetic properties of the Heusler compound with the highest superconducting transition temperature, \ypd\ ( K). Measurements in the vortex state provide the temperature dependence of the effective magnetic penetration depth and the field dependence of the superconducting gap . The results are consistent with a very dirty s-wave BCS superconductor with a gap meV, nm, and a Ginzburg-Landau coherence length nm. In spite of its very dirty character, the effective density of condensed charge carriers is high compared to the normal state. The \mSR data in a broad range of applied fields are well reproduced by taking into account a field-related reduction of the effective superconducting gap. Zero-field \mSR measurements, sensitive to the possible presence of very small magnetic moments, do not show any indications of magnetism in this compound.

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