Oral title: A sensitive hard X-ray census of the AGN population with NuSTAR Oral abstract: NuSTAR is the first focusing telescope with high sensitivity at hard X-ray energies (E>10 keV). In the nearby Universe, its census of AGNs pushes to lower luminosities (by up to ~two orders of magnitude) than Swift BAT. I will present results from the largest NuSTAR survey to-date: the 40-month serendipitous survey. These include extensive followup spectroscopy and multi-wavelength SED modelling. I will show that NuSTAR is identifying new Compton-thick AGNs in the local Universe, elusive at other wavelengths, therefore constraining the prevalence of such extreme systems in the AGN population.