Size: 32 × 13 × 50 cm
Cirroteuthis muelleri can reach a length of 1.5 m (4.9 ft). It is off white or pale purple, with the inner side of the arms and the webs being brownish-purple.
The head has well developed eyes with lenses. The upper and lower beaks are thin and relatively weak. The body is gelatinous and fragile. The arms are nearly equal in length. A pair of translucent webs joins the dorsal and ventral sides of the arms together and the webs terminate at a nodule. The first 7 or 8 suckers are cup-shaped and raised on thick stalks, numbers 2 and 3 being the largest. There are a further 30 or so smaller suckers with delicate stalks. Between the suckers are conspicuous cirri up to 19 mm (0.75 in) long. These are elongate, fleshy tendrils set along the sides of the oral surface of the arms, the longest being in the mid-arm region. Both the suckers and the cirri do not extend as far as the tip of the arm.
The fins are elliptical when viewed from the side. They are wide, and longer than the width of the head. The aperture of the mantle is narrow and the funnel is long.It has been nicknamed "Dumbo" after the cartoon elephant of that name, because its fins resemble large ears. (from Wikipedia)