21007464080400 has 2400 divisors, whose sum is σ = 93573958883328. Its totient is φ = 4404525465600.

The previous prime is 21007464080311. The next prime is 21007464080401. The reversal of 21007464080400 is 408046470012.

21007464080400 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 7 + 4 + 640 + 8 + 0 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21007464080401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 45569336170 + ... + 45569336630.

Almost surely, 2^{21007464080400} is an apocalyptic number.

21007464080400 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 21007464080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46786979441664).

21007464080400 is an abundant number, since it is smaller than the sum of its proper divisors (72566494802928).

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

21007464080400 is a wasteful number, since it uses less digits than its factorization.

21007464080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 771 counting only the distinct ones).

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

The spelling of 21007464080400 in words is "twenty-one trillion, seven billion, four hundred sixty-four million, eighty thousand, four hundred".