21412530410700 has 288 divisors, whose sum is σ = 73977834615552. Its totient is φ = 4713063552000.

The previous prime is 21412530410657. The next prime is 21412530410701. The reversal of 21412530410700 is 701403521412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21412530410701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1474302 + ... + 6708101.

It is an arithmetic number, because the mean of its divisors is an integer number (256867481304).

Almost surely, 2^{21412530410700} is an apocalyptic number.

21412530410700 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 21412530410700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36988917307776).

21412530410700 is an abundant number, since it is smaller than the sum of its proper divisors (52565304204852).

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

21412530410700 is a wasteful number, since it uses less digits than its factorization.

21412530410700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182505 (or 8182498 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 21412530410700 in words is "twenty-one trillion, four hundred twelve billion, five hundred thirty million, four hundred ten thousand, seven hundred".