The term 'stretched to the max' can be represented by two crossword solutions: TAUT (4 letters) and TAUTEST (7 letters). The word TAUT is an adjective meaning 'pulled tight; not slack or loose'. It is often used to describe a rope, fabric, or other material that has been pulled tight. The word tautest is the superlative form of TAUT, meaning 'most tight; pulled as tight as possible'. This phrase is often used to describe a situation that is at its limit or maximum capacity.