21241211162400 has 216 divisors, whose sum is σ = 75491602228224. Its totient is φ = 5619721766400.

The previous prime is 21241211162393. The next prime is 21241211162407. The reversal of 21241211162400 is 426111214212.

21241211162400 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 21 + 11 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21241211162393) and next prime (21241211162407).

It is not an unprimeable number, because it can be changed into a prime (21241211162407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10700436 + ... + 12529235.

It is an arithmetic number, because the mean of its divisors is an integer number (349498158464).

Almost surely, 2^{21241211162400} is an apocalyptic number.

21241211162400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21241211162400 is an abundant number, since it is smaller than the sum of its proper divisors (54250391065824).

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

21241211162400 is a wasteful number, since it uses less digits than its factorization.

21241211162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23229824 (or 23229808 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 21241211162400 its reverse (426111214212), we get a palindrome (21667322376612).

The spelling of 21241211162400 in words is "twenty-one trillion, two hundred forty-one billion, two hundred eleven million, one hundred sixty-two thousand, four hundred".