25750405440 has 560 divisors, whose sum is σ = 96067107840. Its totient is φ = 6539304960.

The previous prime is 25750405399. The next prime is 25750405441. The reversal of 25750405440 is 4450405752.

It is a happy number.

25750405440 is a `hidden beast` number, since 2 + 5 + 75 + 0 + 40 + 544 + 0 = 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 = 25750405395 and 25750405404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25750405441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58656741 + ... + 58657179.

Almost surely, 2^25750405440 is an apocalyptic number.

25750405440 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 25750405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48033553920).

25750405440 is an abundant number, since it is smaller than the sum of its proper divisors (70316702400).

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

25750405440 is a wasteful number, since it uses less digits than its factorization.

25750405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 25750405440 in words is "twenty-five billion, seven hundred fifty million, four hundred five thousand, four hundred forty".