Abstract: A rain gutter pipe comprising a tubular member (12), a plurality of ridges (14) disposed circumferentially thereon, a plurality of valleys (16) defined between the ridges (14) and a plurality of apertures (18) disposed circumferentially around the valleys (16). The gutter pipe is inserted into the entire length of a rain gutter system (24), and an opening (34) is provided adjacent the downspout (36). The gutter pipe is flexible, associated straight couplers (44) allow for connecting multiple runs for greater overall lengths, and associated angle couplers (48) of various configurations are used to connect runs of gutter pipe together at varying angles. Rain water flows through gutter pipe and into the downspout even when accumulated debris covers the surface of gutter pipe. The gutter pipe can also be used on flat roofs to achieve the same objectives. Resistive heating wire (60) can also be wrapped around the gutter pipe to melt snow or ice accumulated thereon.