13112663040 has 528 divisors, whose sum is σ = 50697148320. Its totient is φ = 3114270720.

The previous prime is 13112663017. The next prime is 13112663087. The reversal of 13112663040 is 4036621131.

13112663040 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 26 + 630 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13112662995 and 13112663013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14883400 + ... + 14884280.

Almost surely, 2^13112663040 is an apocalyptic number.

13112663040 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 13112663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25348574160).

13112663040 is an abundant number, since it is smaller than the sum of its proper divisors (37584485280).

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

13112663040 is a wasteful number, since it uses less digits than its factorization.

13112663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13112663040 in words is "thirteen billion, one hundred twelve million, six hundred sixty-three thousand, forty".