16415722164400 has 60 divisors (see below), whose sum is σ = 42472524244192. Its totient is φ = 6061189720320.

The previous prime is 16415722164383. The next prime is 16415722164419. The reversal of 16415722164400 is 446122751461.

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, 1578429624 + ... + 1578440023.

Almost surely, 2^{16415722164400} is an apocalyptic number.

16415722164400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16415722164400 is an abundant number, since it is smaller than the sum of its proper divisors (26056802079792).

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

16415722164400 is a wasteful number, since it uses less digits than its factorization.

16415722164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156869678 (or 3156869667 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 16415722164400 in words is "sixteen trillion, four hundred fifteen billion, seven hundred twenty-two million, one hundred sixty-four thousand, four hundred".