10406182007232 has 672 divisors, whose sum is σ = 34086308256000. Its totient is φ = 3110545152000.

The previous prime is 10406182007227. The next prime is 10406182007279. The reversal of 10406182007232 is 23270028160401.

It is a happy number.

10406182007232 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 618 + 2 + 0 + 0 + 7 + 2 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4957684519 + ... + 4957686617.

It is an arithmetic number, because the mean of its divisors is an integer number (50723673000).

Almost surely, 2^{10406182007232} is an apocalyptic number.

10406182007232 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 10406182007232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17043154128000).

10406182007232 is an abundant number, since it is smaller than the sum of its proper divisors (23680126248768).

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

10406182007232 is a wasteful number, since it uses less digits than its factorization.

10406182007232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10406182007232 in words is "ten trillion, four hundred six billion, one hundred eighty-two million, seven thousand, two hundred thirty-two".