12413014040 has 128 divisors (see below), whose sum is σ = 33114009600. Its totient is φ = 4099230720.

The previous prime is 12413014037. The next prime is 12413014063. The reversal of 12413014040 is 4041031421.

12413014040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900077 + ... + 913763.

It is an arithmetic number, because the mean of its divisors is an integer number (258703200).

Almost surely, 2^12413014040 is an apocalyptic number.

12413014040 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 12413014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16557004800).

12413014040 is an abundant number, since it is smaller than the sum of its proper divisors (20700995560).

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

12413014040 is a wasteful number, since it uses less digits than its factorization.

12413014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13825 (or 13821 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12413014040 its reverse (4041031421), we get a palindrome (16454045461).

The spelling of 12413014040 in words is "twelve billion, four hundred thirteen million, fourteen thousand, forty".