The invention provides seed and plants of the cucumber line designated APD147-4004Mo. The invention thus relates to the plants, seeds and tissue cultures of cucumber line APD147-4004Mo, and to methods for producing a cucumber plant produced by crossing a plant of cucumber line APD147-4004Mo with itself or with another cucumber plant, such as a plant of another line. The invention further relates to seeds and plants produced by such crossing. The invention further relates to parts of a plant of cucumber line APD147-4004Mo, including the fruit and gametes of such plants.