442443304000 has 56 divisors (see below), whose sum is σ = 1095710862168. Its totient is φ = 176977318400.

The previous prime is 442443303979. The next prime is 442443304007. The reversal of 442443304000 is 403344244.

It can be written as a sum of positive squares in 4 ways, for example, as 73284986944 + 369158317056 = 270712^2 + 607584^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 442443304000.

It is not an unprimeable number, because it can be changed into a prime (442443304007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27644707 + ... + 27660706.

Almost surely, 2^442443304000 is an apocalyptic number.

442443304000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442443304000 is an abundant number, since it is smaller than the sum of its proper divisors (653267558168).

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

442443304000 is an equidigital number, since it uses as much as digits as its factorization.

442443304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55305440 (or 55305420 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 442443304000 its reverse (403344244), we get a palindrome (442846648244).

The spelling of 442443304000 in words is "four hundred forty-two billion, four hundred forty-three million, three hundred four thousand".