25434570240 has 400 divisors, whose sum is σ = 95077227168. Its totient is φ = 6486441984.

The previous prime is 25434570233. The next prime is 25434570269. The reversal of 25434570240 is 4207543452.

25434570240 is a `hidden beast` number, since 2 + 5 + 4 + 345 + 70 + 240 = 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 = 25434570195 and 25434570204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4766614 + ... + 4771946.

Almost surely, 2^25434570240 is an apocalyptic number.

25434570240 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 25434570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47538613584).

25434570240 is an abundant number, since it is smaller than the sum of its proper divisors (69642656928).

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

25434570240 is an equidigital number, since it uses as much as digits as its factorization.

25434570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5391 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 25434570240 in words is "twenty-five billion, four hundred thirty-four million, five hundred seventy thousand, two hundred forty".