25195413538440 has 384 divisors, whose sum is σ = 91384124832000. Its totient is φ = 5982924570624.

The previous prime is 25195413538411. The next prime is 25195413538447. The reversal of 25195413538440 is 4483531459152.

25195413538440 is a `hidden beast` number, since 2 + 5 + 1 + 9 + 54 + 13 + 538 + 4 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (25195413538447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89278437 + ... + 89560203.

It is an arithmetic number, because the mean of its divisors is an integer number (237979491750).

Almost surely, 2^{25195413538440} is an apocalyptic number.

25195413538440 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 25195413538440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45692062416000).

25195413538440 is an abundant number, since it is smaller than the sum of its proper divisors (66188711293560).

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

25195413538440 is a wasteful number, since it uses less digits than its factorization.

25195413538440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282589 (or 282582 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 25195413538440 in words is "twenty-five trillion, one hundred ninety-five billion, four hundred thirteen million, five hundred thirty-eight thousand, four hundred forty".