12413132040 has 128 divisors (see below), whose sum is σ = 37574409600. Its totient is φ = 3280527360.

The previous prime is 12413132021. The next prime is 12413132059. The reversal of 12413132040 is 4023131421.

It is an interprime number because it is at equal distance from previous prime (12413132021) and next prime (12413132059).

It is a junction number, because it is equal to n+sod(n) for n = 12413131998 and 12413132016.

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, 7666351 + ... + 7667969.

It is an arithmetic number, because the mean of its divisors is an integer number (293550075).

Almost surely, 2^12413132040 is an apocalyptic number.

12413132040 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 12413132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787204800).

12413132040 is an abundant number, since it is smaller than the sum of its proper divisors (25161277560).

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

12413132040 is a wasteful number, since it uses less digits than its factorization.

12413132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12413132040 its reverse (4023131421), we get a palindrome (16436263461).

It can be divided in two parts, 12413 and 132040, that added together give a triangular number (144453 = T₅₃₇).

The spelling of 12413132040 in words is "twelve billion, four hundred thirteen million, one hundred thirty-two thousand, forty".