12440022240 has 192 divisors, whose sum is σ = 40594563072. Its totient is φ = 3198873600.

The previous prime is 12440022197. The next prime is 12440022277. The reversal of 12440022240 is 4222004421.

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, 4656105 + ... + 4658775.

It is an arithmetic number, because the mean of its divisors is an integer number (211430016).

Almost surely, 2^12440022240 is an apocalyptic number.

12440022240 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 12440022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20297281536).

12440022240 is an abundant number, since it is smaller than the sum of its proper divisors (28154540832).

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

12440022240 is a wasteful number, since it uses less digits than its factorization.

12440022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 12440022240 its reverse (4222004421), we get a palindrome (16662026661).

The spelling of 12440022240 in words is "twelve billion, four hundred forty million, twenty-two thousand, two hundred forty".