25410299040 has 432 divisors, whose sum is σ = 104605458048. Its totient is φ = 5501592576.

The previous prime is 25410299009. The next prime is 25410299069. The reversal of 25410299040 is 4099201452.

25410299040 is a `hidden beast` number, since 2 + 541 + 0 + 29 + 90 + 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 = 25410298986 and 25410299004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3635389 + ... + 3642371.

It is an arithmetic number, because the mean of its divisors is an integer number (242142264).

Almost surely, 2^25410299040 is an apocalyptic number.

25410299040 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 25410299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52302729024).

25410299040 is an abundant number, since it is smaller than the sum of its proper divisors (79195159008).

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

25410299040 is a wasteful number, since it uses less digits than its factorization.

25410299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7049 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 25410299040 in words is "twenty-five billion, four hundred ten million, two hundred ninety-nine thousand, forty".