25404276240 has 400 divisors, whose sum is σ = 101532668160. Its totient is φ = 5766681600.

The previous prime is 25404276229. The next prime is 25404276241. The reversal of 25404276240 is 4267240452.

25404276240 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 4 + 27 + 624 + 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 = 25404276195 and 25404276204.

It is not an unprimeable number, because it can be changed into a prime (25404276241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6847506 + ... + 6851214.

Almost surely, 2^25404276240 is an apocalyptic number.

25404276240 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 25404276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50766334080).

25404276240 is an abundant number, since it is smaller than the sum of its proper divisors (76128391920).

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

25404276240 is a wasteful number, since it uses less digits than its factorization.

25404276240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 25404276240 in words is "twenty-five billion, four hundred four million, two hundred seventy-six thousand, two hundred forty".