25416110440 has 128 divisors (see below), whose sum is σ = 72209180160. Its totient is φ = 7844880384.

The previous prime is 25416110407. The next prime is 25416110459. The reversal of 25416110440 is 4401161452.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 25416110399 and 25416110408.

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, 6597 + ... + 225556.

It is an arithmetic number, because the mean of its divisors is an integer number (564134220).

Almost surely, 2^25416110440 is an apocalyptic number.

25416110440 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 25416110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36104590080).

25416110440 is an abundant number, since it is smaller than the sum of its proper divisors (46793069720).

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

25416110440 is a wasteful number, since it uses less digits than its factorization.

25416110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232211 (or 232207 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 25416110440 its reverse (4401161452), we get a palindrome (29817271892).

The spelling of 25416110440 in words is "twenty-five billion, four hundred sixteen million, one hundred ten thousand, four hundred forty".