12442256640 has 576 divisors, whose sum is σ = 50296135680. Its totient is φ = 2883133440.

The previous prime is 12442256623. The next prime is 12442256653. The reversal of 12442256640 is 4665224421.

12442256640 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 2 + 2 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 12442256595 and 12442256604.

It is a congruent number.

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, 8742969 + ... + 8744391.

It is an arithmetic number, because the mean of its divisors is an integer number (87319680).

Almost surely, 2^12442256640 is an apocalyptic number.

12442256640 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 12442256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25148067840).

12442256640 is an abundant number, since it is smaller than the sum of its proper divisors (37853879040).

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

12442256640 is a wasteful number, since it uses less digits than its factorization.

12442256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 12442256640 in words is "twelve billion, four hundred forty-two million, two hundred fifty-six thousand, six hundred forty".