Iphone turned off unexpected and won't turn back on?

Okay, so I have an iphone 4s that I got in October 2012. I've had the phone for one and a half year.
I always charge my phone when I sleep, so it's charging the whole night. Today when I woke up, I was on the phone while it was still charging but then it suddenly turned off unexpected.
I tried to hold in the Sleep/Wake button while holding in the menu button but nothing is happening. I've waited for 20+ seconds but it still won't turn on.
If I put my charger in, the apple sign when you turn on the phone will just blink and turn off. That happeneds all the time, it just blinks, turns off and won't come on. Now, if I take out the charger it won't even blink, it'll just be black and I literally have no idea how to turn it on. I've tried calling apple and other services but they're not helping me at all.

The battery probably overcharged because you had it charging all night, try limiting your charging hours,
and ask apple for a replacement.

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