25340544440 has 128 divisors (see below), whose sum is σ = 59615170560. Its totient is φ = 9686337024.

The previous prime is 25340544391. The next prime is 25340544443. The reversal of 25340544440 is 4444504352.

It is a super-2 number, since 2×25340544440² (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 25340544440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25340544443) 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, 26204837 + ... + 26205803.

It is an arithmetic number, because the mean of its divisors is an integer number (465743520).

Almost surely, 2^25340544440 is an apocalyptic number.

25340544440 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 25340544440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29807585280).

25340544440 is an abundant number, since it is smaller than the sum of its proper divisors (34274626120).

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

25340544440 is a wasteful number, since it uses less digits than its factorization.

25340544440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

The spelling of 25340544440 in words is "twenty-five billion, three hundred forty million, five hundred forty-four thousand, four hundred forty".