25717417440 has 288 divisors, whose sum is σ = 95896247328. Its totient is φ = 5754777600.

The previous prime is 25717417387. The next prime is 25717417459. The reversal of 25717417440 is 4471471752.

It is a happy number.

It is a super-2 number, since 2×25717417440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25717417392 and 25717417401.

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, 738010 + ... + 772070.

It is an arithmetic number, because the mean of its divisors is an integer number (332973081).

Almost surely, 2^25717417440 is an apocalyptic number.

25717417440 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 25717417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47948123664).

25717417440 is an abundant number, since it is smaller than the sum of its proper divisors (70178829888).

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

25717417440 is a wasteful number, since it uses less digits than its factorization.

25717417440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34114 (or 34095 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 25717417440 in words is "twenty-five billion, seven hundred seventeen million, four hundred seventeen thousand, four hundred forty".