12430638792 has 288 divisors, whose sum is σ = 40838910840. Its totient is φ = 3391027200.

The previous prime is 12430638769. The next prime is 12430638827. The reversal of 12430638792 is 29783603421.

12430638792 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 0 + 638 + 7 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1679852196 + 10750786596 = 40986^2 + 103686^2 .

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 71 ways as a sum of consecutive naturals, for example, 4642158 + ... + 4644834.

Almost surely, 2^12430638792 is an apocalyptic number.

12430638792 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 12430638792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20419455420).

12430638792 is an abundant number, since it is smaller than the sum of its proper divisors (28408272048).

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

12430638792 is a wasteful number, since it uses less digits than its factorization.

12430638792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12430638792 in words is "twelve billion, four hundred thirty million, six hundred thirty-eight thousand, seven hundred ninety-two".