10413965232 has 240 divisors, whose sum is σ = 33781587840. Its totient is φ = 3078259200.

The previous prime is 10413965197. The next prime is 10413965293. The reversal of 10413965232 is 23256931401.

10413965232 is a `hidden beast` number, since 1 + 0 + 41 + 3 + 96 + 523 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1750519 + ... + 1756457.

It is an arithmetic number, because the mean of its divisors is an integer number (140756616).

Almost surely, 2^10413965232 is an apocalyptic number.

10413965232 is a gapful number since it is divisible by the number (12) 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 10413965232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890793920).

10413965232 is an abundant number, since it is smaller than the sum of its proper divisors (23367622608).

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

10413965232 is a wasteful number, since it uses less digits than its factorization.

10413965232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10413965232 in words is "ten billion, four hundred thirteen million, nine hundred sixty-five thousand, two hundred thirty-two".