In this work, we present the first linear-scaling implementation of a coupled-cluster quadruples algorithm, through the framework of localized natural orbitals, through our DLPNO-CCSDT(Q) method. Our method converges to canonical CCSDT(Q) 83 through tightening parameters. Natural orbital frameworks have previously been used with the frozen natural orbital (FNO)-CCSDT(Q) approach, but those methods require very tight natural orbital tolerances for sufficient accuracy and are not linear-scaling. In contrast, our method recovers over 90% of the canonical (Q) energy even at a loose quadruples natural orbital (QNO) tolerance, due to the sparsity of quadruples and the formation of the quadruples density using DLPNO-CCSDT doubles amplitudes, as opposed to MP2 doubles. The relative energy errors computed are usually well within 1 kJ mol -1 , being within 0.1 kcal mol -1 in most cases. Our algorithm makes platinum-standard quantum chemistry 23 significantly more affordable. This allows the study of larger systems with larger basis sets to provide higher-quality theoretical predictions to compare with and validate experimental results, as well as making entirely new chemical predictions. Due to its asymptotic linear scaling, there is no limit to the size of molecules that can be studied with DLPNO-CCSDT(Q), given sufficient computational resources. An algorithm like DLPNO-CCSDT(Q), used on massively parallel supercomputers and potentially GPUs can be used to give highly accurate and reliable theoretical predictions for many much larger molecules than typically imaginable, such as proteins and pharmaceutical molecules, following in the footsteps of its DLPNO-CCSD(T) predecessor. VII. SUPPLEMENTARY MATERIAL Computed absolute energies for the benzene and linear HCNO tests, as well as every molecule in the pericyclic reaction tests are provided in the supplementary material. Geometries for the linear alkanes and water clusters, as well as detailed timing information, are included in the supplementary material. The geometry for benzene is also provided.