21413412139392 has 1920 divisors, whose sum is σ = 86193773265600. Its totient is φ = 5214603018240.

The previous prime is 21413412139349. The next prime is 21413412139417. The reversal of 21413412139392 is 29393121431412.

21413412139392 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 41 + 213 + 9 + 392 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4405143042 + ... + 4405147902.

Almost surely, 2^{21413412139392} 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 21413412139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43096886632800).

21413412139392 is an abundant number, since it is smaller than the sum of its proper divisors (64780361126208).

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

21413412139392 is a wasteful number, since it uses less digits than its factorization.

21413412139392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4938 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 21413412139392 in words is "twenty-one trillion, four hundred thirteen billion, four hundred twelve million, one hundred thirty-nine thousand, three hundred ninety-two".