21302754344400 has 120 divisors (see below), whose sum is σ = 68283266314464. Its totient is φ = 5677117990400.

The previous prime is 21302754344321. The next prime is 21302754344401. The reversal of 21302754344400 is 444345720312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×21302754344400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302754344401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3764799 + ... + 7535198.

Almost surely, 2^{21302754344400} is an apocalyptic number.

21302754344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21302754344400 is an abundant number, since it is smaller than the sum of its proper divisors (46980511970064).

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

21302754344400 is a wasteful number, since it uses less digits than its factorization.

21302754344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301589 (or 11301578 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 21302754344400 in words is "twenty-one trillion, three hundred two billion, seven hundred fifty-four million, three hundred forty-four thousand, four hundred".