My iPod Touch 4g won't turn on?

I was playing on my ipod, which was full of battery, and then i decided to watch tv so i just turned it off like i normally do then i want to play it again so i turn it on but it won't turn on. i thought 'o its just i glitch i guess' so i tried again and it still didn't turn on. i was trying a couple more times and it doesn't want turn on so i then tried to plug it up to itunes so i can maybe restore it but my computer doesn't recognize it. what do i do?!
 
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