12405825432 has 512 divisors, whose sum is σ = 46671206400. Its totient is φ = 2948659200.

The previous prime is 12405825409. The next prime is 12405825449. The reversal of 12405825432 is 23452850421.

12405825432 is a `hidden beast` number, since 1 + 2 + 40 + 582 + 5 + 4 + 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 127 ways as a sum of consecutive naturals, for example, 39134938 + ... + 39135254.

It is an arithmetic number, because the mean of its divisors is an integer number (91154700).

Almost surely, 2^12405825432 is an apocalyptic number.

12405825432 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 12405825432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23335603200).

12405825432 is an abundant number, since it is smaller than the sum of its proper divisors (34265380968).

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

12405825432 is a wasteful number, since it uses less digits than its factorization.

12405825432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 12405825432 in words is "twelve billion, four hundred five million, eight hundred twenty-five thousand, four hundred thirty-two".