Corrupt MP4 video after external hard drive transfer

Hi, I transferred some videos (MP4) from my laptop to my external hard drive.
The problem is, I accidentally made the USB cable move a tiny bit,
causing the external hard drive to disconnect part way through the transfer
of one of the videos.
I moved the videos rather than copied/pasted.
I suspect both my laptop and external drives have fragmentation to some extent which
probably makes the situation worse since PROBABLY the video file has been torn to shreds, part of it
in the external, part in the laptop.

I've tried Piriform's Recuva software but either way with the external or laptop
drives, the video is recovered BUT stops playing part way through.
This is despite the file claiming to be of the full 300mb or so original file size;
yet when I try Grau Gmbh or whatever the software is called, it claims the video file has no content or no video stream
or something like that (can't remember exactly, I'm on my phone and am trying to avoid using the laptop until I know how to recover the video without overwriting any of its data.

So to summarise, I have a corrupt MP4 file that stops playing part way through.

How can I recover the file in its full, non corrupted form?
It's digital bits are probably scattered but surely there must be a way?
Perhaps additional Recuva settings? Will deep scan do anything?
It says it will take 24 hours to deep scan....

Hi, thanks for the welcome.
In panic, I had already tried doing that with the video file but it said
something like there are no previous versions!

I thought a move resulted in a copy first and delete only when the transfer is completed (Windows 2k days). Did this change?

GokAy, I was thinking that too, does anyone know if this has changed?

ThrashZone, what software can fix this mess for me?

When I try to recover the file from the laptop, I get the video to play and stop
part way through. With the external hard drive, the video does not play at all.
It could be the other way round though, don't remember. (Could be that the video
recovered from the laptop couldn't play and that the one recovered from the external HDD
stops playing part way through.)