16426971120400 has 135 divisors (see below), whose sum is σ = 39710934953599. Its totient is φ = 6530225824000.

The previous prime is 16426971120389. The next prime is 16426971120431. The reversal of 16426971120400 is 402117962461.

The square root of 16426971120400 is 4053020.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6192430864 + 16420778689536 = 78692^2 + 4052256^2 .

It is a Duffinian number.

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, 15482535870 + ... + 15482536930.

Almost surely, 2^{16426971120400} is an apocalyptic number.

16426971120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16426971120400 is the 4053020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16426971120400

16426971120400 is an abundant number, since it is smaller than the sum of its proper divisors (23283963833199).

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

16426971120400 is an frugal number, since it uses more digits than its factorization.

16426971120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 16426971120400 in words is "sixteen trillion, four hundred twenty-six billion, nine hundred seventy-one million, one hundred twenty thousand, four hundred".