A mixing and kneading machine (1) for continual compounding comprises a screw shaft (3) rotating in a casing (2) and simultaneously moving axially translationally. To sustainably enhance the efficiency of the machine as regards its material thruput per unit of time the screw shaft (3) comprises at least four groups of radial screw vanes (4a, 4b, 4c, 4d) evenly distributed circumferentially, each group consisting of a plurality of screw vanes in axial sequence. The outer diameter (Da) of the screw shaft ranges from 400 to 800 millimeters. The rotary speed of the screw shaft (3) ranges from 30 to 80 rpm. A mixing and kneading machine (1) engineered as such is particularly suitable for compounding an anodic mass in the production of electrodes—anodes—for the aluminum industry.