13413084210792 has 640 divisors, whose sum is σ = 49398294528000. Its totient is φ = 3306805585920.

The previous prime is 13413084210787. The next prime is 13413084210803. The reversal of 13413084210792 is 29701248031431.

13413084210792 is a `hidden beast` number, since 1 + 3 + 4 + 130 + 8 + 421 + 0 + 7 + 92 = 666.

13413084210792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13413084210792³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45271309 + ... + 45566627.

It is an arithmetic number, because the mean of its divisors is an integer number (77184835200).

Almost surely, 2^{13413084210792} is an apocalyptic number.

13413084210792 is a gapful number since it is divisible by the number (12) 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 13413084210792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24699147264000).

13413084210792 is an abundant number, since it is smaller than the sum of its proper divisors (35985210317208).

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

13413084210792 is a wasteful number, since it uses less digits than its factorization.

13413084210792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295411 (or 295398 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13413084210792 in words is "thirteen trillion, four hundred thirteen billion, eighty-four million, two hundred ten thousand, seven hundred ninety-two".