25413383640 has 128 divisors (see below), whose sum is σ = 81509276160. Its totient is φ = 6316283904.

The previous prime is 25413383609. The next prime is 25413383663. The reversal of 25413383640 is 4638331452.

25413383640 = 38656² + 38657² + ... + 38672².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149647 + ... + 270593.

It is an arithmetic number, because the mean of its divisors is an integer number (636791220).

Almost surely, 2^25413383640 is an apocalyptic number.

25413383640 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 25413383640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40754638080).

25413383640 is an abundant number, since it is smaller than the sum of its proper divisors (56095892520).

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

25413383640 is a wasteful number, since it uses less digits than its factorization.

25413383640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121081 (or 121077 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 25413383640 in words is "twenty-five billion, four hundred thirteen million, three hundred eighty-three thousand, six hundred forty".