4404022042400 has 72 divisors (see below), whose sum is σ = 10751686941744. Its totient is φ = 1761548499200.

The previous prime is 4404022042373. The next prime is 4404022042501. The reversal of 4404022042400 is 42402204044.

It is a self number, because there is not a number n which added to its sum of digits gives 4404022042400.

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, 28828619 + ... + 28980981.

It is an arithmetic number, because the mean of its divisors is an integer number (149328985302).

Almost surely, 2^{4404022042400} is an apocalyptic number.

4404022042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404022042400 is an abundant number, since it is smaller than the sum of its proper divisors (6347664899344).

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

4404022042400 is a wasteful number, since it uses less digits than its factorization.

4404022042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188514 (or 188501 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 4404022042400 its reverse (42402204044), we get a palindrome (4446424246444).

The spelling of 4404022042400 in words is "four trillion, four hundred four billion, twenty-two million, forty-two thousand, four hundred".