442643750008824 has 256 divisors, whose sum is σ = 1375670080512000. Its totient is φ = 115568607831552.

The previous prime is 442643750008751. The next prime is 442643750008847. The reversal of 442643750008824 is 428800057346244.

It is a happy number.

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, 666200727 + ... + 666864825.

It is an arithmetic number, because the mean of its divisors is an integer number (5373711252000).

Almost surely, 2^{442643750008824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442643750008824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687835040256000).

442643750008824 is an abundant number, since it is smaller than the sum of its proper divisors (933026330503176).

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

442643750008824 is a wasteful number, since it uses less digits than its factorization.

442643750008824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667194 (or 667190 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 57.

The spelling of 442643750008824 in words is "four hundred forty-two trillion, six hundred forty-three billion, seven hundred fifty million, eight thousand, eight hundred twenty-four".