25840132416 has 336 divisors, whose sum is σ = 87516841984. Its totient is φ = 7136252928.

The previous prime is 25840132403. The next prime is 25840132471. The reversal of 25840132416 is 61423104852.

It is a happy number.

25840132416 is a `hidden beast` number, since 2 + 5 + 8 + 401 + 3 + 241 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×25840132416³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17857005 + ... + 17858451.

Almost surely, 2^25840132416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25840132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43758420992).

25840132416 is an abundant number, since it is smaller than the sum of its proper divisors (61676709568).

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

25840132416 is a wasteful number, since it uses less digits than its factorization.

25840132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 25840132416 in words is "twenty-five billion, eight hundred forty million, one hundred thirty-two thousand, four hundred sixteen".