12441005440 has 128 divisors (see below), whose sum is σ = 32669049600. Its totient is φ = 4509407232.

The previous prime is 12441005431. The next prime is 12441005503. The reversal of 12441005440 is 4450014421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257439 + ... + 301921.

It is an arithmetic number, because the mean of its divisors is an integer number (255226950).

Almost surely, 2^12441005440 is an apocalyptic number.

12441005440 is a gapful number since it is divisible by the number (10) 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 12441005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16334524800).

12441005440 is an abundant number, since it is smaller than the sum of its proper divisors (20228044160).

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

12441005440 is a wasteful number, since it uses less digits than its factorization.

12441005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44544 (or 44532 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 12441005440 its reverse (4450014421), we get a palindrome (16891019861).

The spelling of 12441005440 in words is "twelve billion, four hundred forty-one million, five thousand, four hundred forty".