The systematic exploration of hyper-luminous (log LBol > 47) quasars shining at the golden epoch of AGN activity (i.e. z~2-4) offer the opportunity of overcoming the luminosity bias in the exploration of the accretion phenomenon. The WISE All-Sky Survey allowed to spot the most luminous quasars in the universe. In this talk, we will present the results of our on-going study of the XMM/Chandra/NuSTAR observations of WISE-selected hyper-luminous quasars regardless of the amount of their obscuration (i.e. both blue and heavily reddened). We report on the correlations between the X-ray and Optical, UV and MIR properties, and on the behavior of the X-ray bolometric correction at the brightest end of the luminosity function. We find that WISE-selected hyper-luminous quasars show much lower X/Opt flux and X/MIR luminosity ratios than those of AGN typically studied so far. This “X-ray weakness” can be a key ingredient for accelerating powerful ionized outflows (pervasively detected in the UV/optical band) and, furthermore, radiation-driven winds can be effective in destroying the X-ray corona and quenching the X-ray emission.