12440244311440 has 160 divisors (see below), whose sum is σ = 31778091072000. Its totient is φ = 4491477288960.

The previous prime is 12440244311437. The next prime is 12440244311549. The reversal of 12440244311440 is 4411344204421.

It is a junction number, because it is equal to n+sod(n) for n = 12440244311396 and 12440244311405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333419506 + ... + 333456814.

It is an arithmetic number, because the mean of its divisors is an integer number (198613069200).

Almost surely, 2^{12440244311440} is an apocalyptic number.

12440244311440 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 12440244311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15889045536000).

12440244311440 is an abundant number, since it is smaller than the sum of its proper divisors (19337846760560).

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

12440244311440 is a wasteful number, since it uses less digits than its factorization.

12440244311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40025 (or 40019 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 12440244311440 its reverse (4411344204421), we get a palindrome (16851588515861).

The spelling of 12440244311440 in words is "twelve trillion, four hundred forty billion, two hundred forty-four million, three hundred eleven thousand, four hundred forty".