There are a couple of options to let you know.
There is email or sms. I haven't used the SMS personally but the email notification can be set to many options.
https://help.synology.com/dsm/?secti...on_filter.html
I have mine to email me in case of a HDD failure. I don't believe there is a desktop application for this
There are many raid's depending on your tolerance.
Raid 5 requires at least 3 HDD's and allows for 1 fault
Raid 6 requires at least 4 HDD's and allows for 2 faults
I'm on the synology hybrid raid which is a modified raid 6.