21705076404400 has 60 divisors (see below), whose sum is σ = 52151518232064. Its totient is φ = 8681186080000.

The previous prime is 21705076404391. The next prime is 21705076404409. The reversal of 21705076404400 is 440467050712.

It is an interprime number because it is at equal distance from previous prime (21705076404391) and next prime (21705076404409).

It is a super-2 number, since 2×21705076404400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (21705076404409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1486545 + ... + 6754255.

Almost surely, 2^{21705076404400} is an apocalyptic number.

21705076404400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21705076404400 is an abundant number, since it is smaller than the sum of its proper divisors (30446441827664).

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

21705076404400 is a wasteful number, since it uses less digits than its factorization.

21705076404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278030 (or 5278019 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 21705076404400 in words is "twenty-one trillion, seven hundred five billion, seventy-six million, four hundred four thousand, four hundred".