12440338560 has 512 divisors, whose sum is σ = 48117888000. Its totient is φ = 3019161600.

The previous prime is 12440338549. The next prime is 12440338571. The reversal of 12440338560 is 6583304421.

12440338560 is a `hidden beast` number, since 1 + 24 + 40 + 3 + 38 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (12440338549) and next prime (12440338571).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17746210 + ... + 17746910.

It is an arithmetic number, because the mean of its divisors is an integer number (93980250).

Almost surely, 2^12440338560 is an apocalyptic number.

12440338560 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 12440338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944000).

12440338560 is an abundant number, since it is smaller than the sum of its proper divisors (35677549440).

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

12440338560 is a wasteful number, since it uses less digits than its factorization.

12440338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12440338560 in words is "twelve billion, four hundred forty million, three hundred thirty-eight thousand, five hundred sixty".