25649041440 has 192 divisors, whose sum is σ = 88268019840. Its totient is φ = 6208880640.

The previous prime is 25649041427. The next prime is 25649041471. The reversal of 25649041440 is 4414094652.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4057162 + ... + 4063478.

It is an arithmetic number, because the mean of its divisors is an integer number (459729270).

Almost surely, 2^25649041440 is an apocalyptic number.

25649041440 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 25649041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44134009920).

25649041440 is an abundant number, since it is smaller than the sum of its proper divisors (62618978400).

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

25649041440 is a wasteful number, since it uses less digits than its factorization.

25649041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115 (or 7107 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 25649041440 in words is "twenty-five billion, six hundred forty-nine million, forty-one thousand, four hundred forty".