21412396761408 has 448 divisors, whose sum is σ = 65766414608640. Its totient is φ = 6824814796800.

The previous prime is 21412396761397. The next prime is 21412396761421. The reversal of 21412396761408 is 80416769321412.

21412396761408 is a `hidden beast` number, since 2 + 1 + 4 + 12 + 3 + 9 + 6 + 7 + 614 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7811890918 + ... + 7811893658.

Almost surely, 2^{21412396761408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21412396761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32883207304320).

21412396761408 is an abundant number, since it is smaller than the sum of its proper divisors (44354017847232).

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

21412396761408 is a wasteful number, since it uses less digits than its factorization.

21412396761408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21412396761408 in words is "twenty-one trillion, four hundred twelve billion, three hundred ninety-six million, seven hundred sixty-one thousand, four hundred eight".