12457425240 has 1024 divisors, whose sum is σ = 51819264000. Its totient is φ = 2627665920.

The previous prime is 12457425191. The next prime is 12457425251. The reversal of 12457425240 is 4252475421.

12457425240 is a `hidden beast` number, since 1 + 24 + 574 + 25 + 2 + 40 = 666.

It is a super-2 number, since 2×12457425240² (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 = 12457425195 and 12457425204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 185931687 + ... + 185931753.

It is an arithmetic number, because the mean of its divisors is an integer number (50604750).

Almost surely, 2^12457425240 is an apocalyptic number.

12457425240 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 12457425240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25909632000).

12457425240 is an abundant number, since it is smaller than the sum of its proper divisors (39361838760).

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

12457425240 is a wasteful number, since it uses less digits than its factorization.

12457425240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 12457425240 in words is "twelve billion, four hundred fifty-seven million, four hundred twenty-five thousand, two hundred forty".