25257412440 has 256 divisors, whose sum is σ = 93594009600. Its totient is φ = 6016550400.

The previous prime is 25257412429. The next prime is 25257412457. The reversal of 25257412440 is 4421475252.

25257412440 is a `hidden beast` number, since 2 + 525 + 7 + 4 + 124 + 4 + 0 = 666.

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 = 25257412395 and 25257412404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406225 + ... + 464255.

It is an arithmetic number, because the mean of its divisors is an integer number (365601600).

Almost surely, 2^25257412440 is an apocalyptic number.

25257412440 is a gapful number since it is divisible by the number (20) 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 25257412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46797004800).

25257412440 is an abundant number, since it is smaller than the sum of its proper divisors (68336597160).

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

25257412440 is a wasteful number, since it uses less digits than its factorization.

25257412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58095 (or 58085 counting only the distinct ones).

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

Adding to 25257412440 its reverse (4421475252), we get a palindrome (29678887692).

The spelling of 25257412440 in words is "twenty-five billion, two hundred fifty-seven million, four hundred twelve thousand, four hundred forty".