442628026368 has 208 divisors, whose sum is σ = 1331895916800. Its totient is φ = 129503395840.

The previous prime is 442628026363. The next prime is 442628026369. The reversal of 442628026368 is 863620826244.

It is a self number, because there is not a number n which added to its sum of digits gives 442628026368.

It is not an unprimeable number, because it can be changed into a prime (442628026363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3863413 + ... + 3976331.

Almost surely, 2^442628026368 is an apocalyptic number.

442628026368 is a gapful number since it is divisible by the number (48) 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 442628026368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665947958400).

442628026368 is an abundant number, since it is smaller than the sum of its proper divisors (889267890432).

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

442628026368 is a wasteful number, since it uses less digits than its factorization.

442628026368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112986 (or 112964 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 442628026368 in words is "four hundred forty-two billion, six hundred twenty-eight million, twenty-six thousand, three hundred sixty-eight".