25336413440 has 288 divisors, whose sum is σ = 67330586400. Its totient is φ = 9077391360.

The previous prime is 25336413433. The next prime is 25336413449. The reversal of 25336413440 is 4431463352.

It can be written as a sum of positive squares in 16 ways, for example, as 8068350976 + 17268062464 = 89824^2 + 131408^2 .

It is a super-2 number, since 2×25336413440² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25336413440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25336413449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110639246 + ... + 110639474.

Almost surely, 2^25336413440 is an apocalyptic number.

25336413440 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 25336413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33665293200).

25336413440 is an abundant number, since it is smaller than the sum of its proper divisors (41994172960).

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

25336413440 is a wasteful number, since it uses less digits than its factorization.

25336413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 25336413440 its reverse (4431463352), we get a palindrome (29767876792).

The spelling of 25336413440 in words is "twenty-five billion, three hundred thirty-six million, four hundred thirteen thousand, four hundred forty".