Why my iphone 14 pro max does not turn on?

Try a "forced" restart of your 14, using these gestures:

Press and quickly release the volume up button, press and quickly release the volume down button, then press and hold the side (power) button. Only when the Apple logo appears (it might take 10-20 seconds), release that button (ignore all other screens that might appear, the one with the "slider" to turn the device off included).

If the issue persists, contact Apple Support, using this link:--> Get Support

Regards

Giulio