25440408630 has 768 divisors, whose sum is σ = 89669099520. Its totient is φ = 4860850176.

The previous prime is 25440408593. The next prime is 25440408647. The reversal of 25440408630 is 3680404452.

25440408630 is a `hidden beast` number, since 2 + 544 + 0 + 4 + 0 + 86 + 30 = 666.

It is a super-2 number, since 2×25440408630² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 480007684 + ... + 480007736.

It is an arithmetic number, because the mean of its divisors is an integer number (116756640).

Almost surely, 2^25440408630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25440408630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44834549760).

25440408630 is an abundant number, since it is smaller than the sum of its proper divisors (64228690890).

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

25440408630 is a wasteful number, since it uses less digits than its factorization.

25440408630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 2544040 and 8630, that added together give a triangular number (2552670 = T₂₂₅₉).

The spelling of 25440408630 in words is "twenty-five billion, four hundred forty million, four hundred eight thousand, six hundred thirty".