cannot play or copy corrupted video
Please try the following steps to see if your issue is getting resolved

1) Install web pc suite from play store

2) open the ip address shown on your phone or use scan QR code

3) then try to download your file on your computer 

this software is really good, fast and works very well. 

second method

1) you can try using OTG cable (on the go cable for S4) 

2) connect your pen drive to your phone using OTG cable and then see if you are able to copy the file to your pen drive. 

Since you have mentioned airdroid in your question I believe you want to do it this wirelessly so you can try "web pc suite". 

There are other ways too but you can try the first method to see if your problem gets resolved. 

Sam