12353725440 has 264 divisors, whose sum is σ = 48921662400. Its totient is φ = 2823634944.

The previous prime is 12353725421. The next prime is 12353725453. The reversal of 12353725440 is 4452735321.

12353725440 is a `hidden beast` number, since 1 + 235 + 372 + 54 + 4 + 0 = 666.

It is a super-2 number, since 2×12353725440² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12353725395 and 12353725404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303411 + ... + 341709.

Almost surely, 2^12353725440 is an apocalyptic number.

12353725440 is a gapful number since it is divisible by the number (10) 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 12353725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24460831200).

12353725440 is an abundant number, since it is smaller than the sum of its proper divisors (36567936960).

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

12353725440 is a wasteful number, since it uses less digits than its factorization.

12353725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38337 (or 38316 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 12353725440 in words is "twelve billion, three hundred fifty-three million, seven hundred twenty-five thousand, four hundred forty".