21425170400 has 72 divisors (see below), whose sum is σ = 52822259784. Its totient is φ = 8485184000.

The previous prime is 21425170387. The next prime is 21425170423. The reversal of 21425170400 is 407152412.

It is a self number, because there is not a number n which added to its sum of digits gives 21425170400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51782 + ... + 213381.

It is an arithmetic number, because the mean of its divisors is an integer number (733642497).

Almost surely, 2^21425170400 is an apocalyptic number.

21425170400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21425170400 is an abundant number, since it is smaller than the sum of its proper divisors (31397089384).

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

21425170400 is a wasteful number, since it uses less digits than its factorization.

21425170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265284 (or 265271 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The spelling of 21425170400 in words is "twenty-one billion, four hundred twenty-five million, one hundred seventy thousand, four hundred".