2444340013440 has 256 divisors, whose sum is σ = 8491766734080. Its totient is φ = 594433990656.

The previous prime is 2444340013439. The next prime is 2444340013471. The reversal of 2444340013440 is 443100434442.

It is a congruent number.

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, 1481739 + ... + 2661621.

It is an arithmetic number, because the mean of its divisors is an integer number (33170963805).

Almost surely, 2^{2444340013440} is an apocalyptic number.

2444340013440 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 2444340013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245883367040).

2444340013440 is an abundant number, since it is smaller than the sum of its proper divisors (6047426720640).

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

2444340013440 is a wasteful number, since it uses less digits than its factorization.

2444340013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180001 (or 1179989 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2444340013440 its reverse (443100434442), we get a palindrome (2887440447882).

The spelling of 2444340013440 in words is "two trillion, four hundred forty-four billion, three hundred forty million, thirteen thousand, four hundred forty".