13140234411120 has 320 divisors, whose sum is σ = 47996017344000. Its totient is φ = 3292930658304.

The previous prime is 13140234411113. The next prime is 13140234411133. The reversal of 13140234411120 is 2111443204131.

It is a happy number.

13140234411120 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 234 + 411 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 23926971 + ... + 24469989.

It is an arithmetic number, because the mean of its divisors is an integer number (149987554200).

Almost surely, 2^{13140234411120} is an apocalyptic number.

13140234411120 is a gapful number since it is divisible by the number (10) 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 13140234411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998008672000).

13140234411120 is an abundant number, since it is smaller than the sum of its proper divisors (34855782932880).

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

13140234411120 is a wasteful number, since it uses less digits than its factorization.

13140234411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543717 (or 543705 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13140234411120 its reverse (2111443204131), we get a palindrome (15251677615251).

The spelling of 13140234411120 in words is "thirteen trillion, one hundred forty billion, two hundred thirty-four million, four hundred eleven thousand, one hundred twenty".