[abridged] We present point-source catalogs for the 4Ms Chandra Deep Field-South (CDF-S), which is the deepest Chandra survey to date and covers an area of 464.5 arcmin^2. We provide a main source catalog, which contains 740 X-ray point sources that are detected with wavdetect at a false-positive probability threshold of 1E-5 and also satisfy a binomial-probability source-selection criterion of P<0.004; this approach is designed to maximize the number of reliable sources detected. A total of 300 main-catalog sources are new compared to the previous 2Ms CDF-S main-catalog sources. We also provide a supplementary catalog, which consists of 36 sources that are detected with wavdetect at 1E-5, satisfy 0.004< P<0.1, and have an optical counterpart with R<24. Multiwavelength identifications, basic optical/infrared/radio photometry, and spectroscopic/photometric redshifts are provided for the X-ray sources. Basic analyses of the X-ray and multiwavelength properties of the sources indicate that >75% of the main-catalog sources are AGNs; of the 300 new main-catalog sources, about 35% are likely normal and starburst galaxies, reflecting the rise of normal and starburst galaxies at the very faint flux levels uniquely accessible to the 4Ms CDF-S. Near the center of the 4Ms CDF-S, the observed AGN and galaxy source densities have reached ~9800 and 6900 per square degree, respectively. The 4 Ms CDF-S reaches on-axis flux limits of ~9.1E-18 and 5.5E-17 erg/cm^2/s for the soft and hard bands, respectively. An increase in the CDF-S exposure by a factor of ~2-2.5 would provide further significant gains and probe key unexplored discovery space.
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