25440071040 has 384 divisors, whose sum is σ = 89820057600. Its totient is φ = 6633639936.

The previous prime is 25440071021. The next prime is 25440071053. The reversal of 25440071040 is 4017004452.

25440071040 is a `hidden beast` number, since 254 + 400 + 7 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 25440070995 and 25440071013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60715951 + ... + 60716369.

It is an arithmetic number, because the mean of its divisors is an integer number (233906400).

Almost surely, 2^25440071040 is an apocalyptic number.

25440071040 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 25440071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44910028800).

25440071040 is an abundant number, since it is smaller than the sum of its proper divisors (64379986560).

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

25440071040 is a wasteful number, since it uses less digits than its factorization.

25440071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 25440071040 its reverse (4017004452), we get a palindrome (29457075492).

The spelling of 25440071040 in words is "twenty-five billion, four hundred forty million, seventy-one thousand, forty".