10392406272 has 432 divisors, whose sum is σ = 34069980672. Its totient is φ = 3145236480.

The previous prime is 10392406223. The next prime is 10392406309. The reversal of 10392406272 is 27260429301.

10392406272 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 24 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32783458 + ... + 32783774.

It is an arithmetic number, because the mean of its divisors is an integer number (78865696).

Almost surely, 2^10392406272 is an apocalyptic number.

10392406272 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 10392406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034990336).

10392406272 is an abundant number, since it is smaller than the sum of its proper divisors (23677574400).

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

10392406272 is an equidigital number, since it uses as much as digits as its factorization.

10392406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10392406272 in words is "ten billion, three hundred ninety-two million, four hundred six thousand, two hundred seventy-two".