25738014040 has 128 divisors (see below), whose sum is σ = 61451550720. Its totient is φ = 9689881600.

The previous prime is 25738014031. The next prime is 25738014079. The reversal of 25738014040 is 4041083752.

It is a junction number, because it is equal to n+sod(n) for n = 25738013987 and 25738014005.

It is a congruent number.

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, 5470329 + ... + 5475031.

It is an arithmetic number, because the mean of its divisors is an integer number (480090240).

Almost surely, 2^25738014040 is an apocalyptic number.

25738014040 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 25738014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30725775360).

25738014040 is an abundant number, since it is smaller than the sum of its proper divisors (35713536680).

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

25738014040 is a wasteful number, since it uses less digits than its factorization.

25738014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

Adding to 25738014040 its reverse (4041083752), we get a palindrome (29779097792).

The spelling of 25738014040 in words is "twenty-five billion, seven hundred thirty-eight million, fourteen thousand, forty".