25040350440 has 576 divisors, whose sum is σ = 101155392000. Its totient is φ = 5344496640.

The previous prime is 25040350397. The next prime is 25040350451. The reversal of 25040350440 is 4405304052.

25040350440 is a `hidden beast` number, since 250 + 403 + 5 + 0 + 4 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15857571 + ... + 15859149.

It is an arithmetic number, because the mean of its divisors is an integer number (175617000).

Almost surely, 2^25040350440 is an apocalyptic number.

25040350440 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 25040350440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50577696000).

25040350440 is an abundant number, since it is smaller than the sum of its proper divisors (76115041560).

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

25040350440 is a wasteful number, since it uses less digits than its factorization.

25040350440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 25040350440 its reverse (4405304052), we get a palindrome (29445654492).

The spelling of 25040350440 in words is "twenty-five billion, forty million, three hundred fifty thousand, four hundred forty".