Why is the C++ max range spitting out a negative max answer? [closed]

Essentially I wrote a program to to multiply a number by its own power and iterate it till some value n.

Eg: 1^1, 2^2, 3^3, 4^4, 5^5, so on.

Here's the code :

int n = 20, i ;

long long int fin;

    for(i=1;i<=n;i++){

    fin = pow(i,i);
    cout<<fin<<endl;

    }

I realised that I had hit the int-max-range limit by the time the iteration reached to 10.

Later I increased the declaration to 'long long int' and realised I hit a limit once I reached 20.

My question is : Why did the max output spit out as a negative max-range number instead of a positive one?

I'm new to C++ I reckon I might be asking a basic question.

Thank you.