13110042404040 has 128 divisors (see below), whose sum is σ = 39813895595520. Its totient is φ = 3453174144000.

The previous prime is 13110042403993. The next prime is 13110042404089. The reversal of 13110042404040 is 4040424001131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13110042404040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3817857 + ... + 6387183.

It is an arithmetic number, because the mean of its divisors is an integer number (311046059340).

Almost surely, 2^{13110042404040} is an apocalyptic number.

13110042404040 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 13110042404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906947797760).

13110042404040 is an abundant number, since it is smaller than the sum of its proper divisors (26703853191480).

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

13110042404040 is a wasteful number, since it uses less digits than its factorization.

13110042404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569863 (or 2569859 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13110042404040 its reverse (4040424001131), we get a palindrome (17150466405171).

The spelling of 13110042404040 in words is "thirteen trillion, one hundred ten billion, forty-two million, four hundred four thousand, forty".