If you buy a puzzle without rubber powder, you can use glue instead. But be sure to brush evenly and cover all the back of the puzzle.
About how to turn a big puzzle upside down;
It is estimated that 1000 sheets can be divided into 8- 10 sheets. Then carefully pad A4 paper under each sheet and move it to A4 size cardboard on the table. Fix a cardboard about the same size on it, press it hard in the middle with your hands and turn it over quickly. Remember the relative positions of the eight pieces and put them together. If you are afraid of falling apart when reversing, you can temporarily stand the cardboard together with tape, which is very easy!