4221304022304 has 72 divisors (see below), whose sum is σ = 12710470581900. Its totient is φ = 1324330672128.

The previous prime is 4221304022279. The next prime is 4221304022311. The reversal of 4221304022304 is 4032204031224.

4221304022304 is a `hidden beast` number, since 4 + 2 + 21 + 3 + 0 + 402 + 230 + 4 = 666.

4221304022304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4012217314704 + 209086707600 = 2003052^2 + 457260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431092329 + ... + 431102120.

Almost surely, 2^{4221304022304} is an apocalyptic number.

It is an amenable number.

4221304022304 is an abundant number, since it is smaller than the sum of its proper divisors (8489166559596).

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

4221304022304 is a wasteful number, since it uses less digits than its factorization.

4221304022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862194482 (or 862194471 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4221304022304 its reverse (4032204031224), we get a palindrome (8253508053528).

The spelling of 4221304022304 in words is "four trillion, two hundred twenty-one billion, three hundred four million, twenty-two thousand, three hundred four".