Can you hear the difference between AIFF and MP3?

The mp3 I'm listening to is 320 kbps, the aiff version is 1441 kbps. How would you be able to tell the difference. The only time I can tell the difference is when artists use tapes to record and Analogue equipment, the more kbps the better but when it's recorded straight from digital does it matter and what set up would you need to be able to hear the difference. I'm going to be using an audio technica ath-m50 on an iphone and Imac to listen to this. I can't hear the difference between the two and would it be stupid to waste that much space on my iphone?

You shouldn't be able to hear a difference. A 320kbps MP3 encoded from a lossless source like a CD, will sound 1 to 1 with a CD in most blind listening tests. Even though a 320kbps MP3 is most certainly not CD quality (A CD is 1, 411kbps to be exact!) The human ear and brain can't physically hear the downgrade in sound quality at such a high bit rate. At 320kbps, Mp3 removes only the sounds humans can't hear. And at 320kbps, mp3 is incredibly efficient at doing it. So much so in fact, that no scientific evidence exists that can prove otherwise that any human can hear a difference between the lossless CD source and the compressed MP3.

A 320kbps MP3 is not as good as a CD though when it comes to converting from one format to another. A 320kbps Mp3 is also not as good as a CD. Wav/Aiff file, when it comes to audio editing for a YouTube video you may be working on as just one example.

But for just general playback, a 320kbps MP3 would be optimal if you want to save space on your iPhone.