25232644723440 has 640 divisors, whose sum is σ = 101553820139520. Its totient is φ = 5028807168000.

The previous prime is 25232644723427. The next prime is 25232644723471. The reversal of 25232644723440 is 4432744623252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25232644723440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80768017 + ... + 81079823.

It is an arithmetic number, because the mean of its divisors is an integer number (158677843968).

Almost surely, 2^{25232644723440} is an apocalyptic number.

25232644723440 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 25232644723440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50776910069760).

25232644723440 is an abundant number, since it is smaller than the sum of its proper divisors (76321175416080).

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

25232644723440 is a wasteful number, since it uses less digits than its factorization.

25232644723440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312021 (or 312015 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 48.

The spelling of 25232644723440 in words is "twenty-five trillion, two hundred thirty-two billion, six hundred forty-four million, seven hundred twenty-three thousand, four hundred forty".