A problem with defining a new external Hard Disk

I have just connected a new external Hard Disk with my Laptop. However, it is not shown the computer. When I checked over it in the Devices Manager, I have found it listed in the list of Hard Disk Drivers. When I click on the its properties , I notice that the device is working well in the frame of the status of the device.
However, I found out there is a question mark on this hard disk in the other devices tree.

I have tried connecting it via USB2/USB3, but this makes no difference.
When I immediately connected it, I notice Windows notified that there is a new detected device. But in eventually I didn't found it defined.

I have tried clicking a right- click on it, then I have chosen 'update the operating program'. But this also didn't make any difference.

On top of that,
When I have opened a program which is specialist in the division of discs, I found it shown. However, I didn't found all of its capacity shown. It is 1TB(1024GB); however, what is shown is 931.48GB
If I split it with this program regardless of whether or not it is defined and will be shown in my computer, will it be damaged??

Any comments would be quite highly appreciated.