4220773020304 has 135 divisors (see below), whose sum is σ = 8664772165833. Its totient is φ = 1991602204416.

The previous prime is 4220773020229. The next prime is 4220773020311. The reversal of 4220773020304 is 4030203770224.

The square root of 4220773020304 is 2054452.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2479302176400 + 1741470843904 = 1574580^2 + 1319648^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4220773020304.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25894312927 + ... + 25894313089.

Almost surely, 2^{4220773020304} is an apocalyptic number.

4220773020304 is the 2054452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220773020304

4220773020304 is an abundant number, since it is smaller than the sum of its proper divisors (4443999145529).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4220773020304 is an equidigital number, since it uses as much as digits as its factorization.

4220773020304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 34.

Adding to 4220773020304 its reverse (4030203770224), we get a palindrome (8250976790528).

The spelling of 4220773020304 in words is "four trillion, two hundred twenty billion, seven hundred seventy-three million, twenty thousand, three hundred four".