21701484230400 has 2160 divisors, whose sum is σ = 90112914904320. Its totient is φ = 5116782182400.

The previous prime is 21701484230359. The next prime is 21701484230443. The reversal of 21701484230400 is 403248410712.

21701484230400 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 14 + 8 + 4 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22771756324 + ... + 22771757276.

Almost surely, 2^{21701484230400} is an apocalyptic number.

21701484230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21701484230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45056457452160).

21701484230400 is an abundant number, since it is smaller than the sum of its proper divisors (68411430673920).

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

21701484230400 is a wasteful number, since it uses less digits than its factorization.

21701484230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 21701484230400 in words is "twenty-one trillion, seven hundred one billion, four hundred eighty-four million, two hundred thirty thousand, four hundred".