Trichocereus is how the plant is identified at nurseries. Searching the internet, there is little information. I did find one entry that seemed to imply that the cactus was native to Peru. The cactus books in my library don't have a reference to it. Now you know as much as I do.
Note: One of this species (white or in color is still undecided) will be part of my landscaping in front of my home. That two by ten foot space will have several cactus plants. A Christmas Cholla has already been planted. There is no hurry to fill the remaining space. This is home -- for a while.