Rules:
Normal sudoku rules apply in the central 9 × 9 grid.
Region product lines: Along each pink line, digits in each region multiply to the same product. This product may differ between lines. (Example: r5c6 × r6c5 = r4c8 × r4c9 × r5c7)
X-sum: A number outside the sudoku grid indicates the sum of the first X digits along the corresponding row or column, where X is the first digit along that row or column. (Example: if r2c1 were a 5, the first 5 digits in row 2 would add up to the number to the left of row 2)
For the purposes of region product lines the outside counts as a region. No other sudoku rules apply to the outside of the grid.
Play online:
Sven's Web App (CtC) (note: The conflict checker is... conflicted about how I've done the outside clues.)
I hope you enjoy! It's probably on the higher end of 3 stars difficulty, I'm not sure.
Solution code: Column 3 of the completed sudoku grid, top to bottom (9 digits)