16921046790400 has 81 divisors (see below), whose sum is σ = 41883049264021. Its totient is φ = 6768287083520.

The previous prime is 16921046790383. The next prime is 16921046790409. The reversal of 16921046790400 is 409764012961.

The square root of 16921046790400 is 4113520.

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., 6091576844544 + 10829469945856 = 2468112^2 + 3290816^2 .

It is a super-2 number, since 2×16921046790400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16921046790409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 329055891 + ... + 329107309.

Almost surely, 2^{16921046790400} is an apocalyptic number.

16921046790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16921046790400 is the 4113520-th square number.

It is an amenable number.

16921046790400 is an abundant number, since it is smaller than the sum of its proper divisors (24962002473621).

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

16921046790400 is an frugal number, since it uses more digits than its factorization.

16921046790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102864 (or 51426 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 16921046790400 by its sum of digits (49), we get a square (829131292729600 = 28794640²).

The spelling of 16921046790400 in words is "sixteen trillion, nine hundred twenty-one billion, forty-six million, seven hundred ninety thousand, four hundred".