25743407040 has 560 divisors, whose sum is σ = 103834204320. Its totient is φ = 6001827840.

The previous prime is 25743407029. The next prime is 25743407077. The reversal of 25743407040 is 4070434752.

25743407040 is a `hidden beast` number, since 2 + 574 + 3 + 40 + 7 + 0 + 40 = 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 = 25743406986 and 25743407004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6400230 + ... + 6404250.

It is an arithmetic number, because the mean of its divisors is an integer number (185418222).

Almost surely, 2^25743407040 is an apocalyptic number.

25743407040 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 25743407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51917102160).

25743407040 is an abundant number, since it is smaller than the sum of its proper divisors (78090797280).

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

25743407040 is a wasteful number, since it uses less digits than its factorization.

25743407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 25743407040 in words is "twenty-five billion, seven hundred forty-three million, four hundred seven thousand, forty".