442840728204 has 336 divisors, whose sum is σ = 1349780361216. Its totient is φ = 124459545600.

The previous prime is 442840728199. The next prime is 442840728227. The reversal of 442840728204 is 402827048244.

It is a super-2 number, since 2×442840728204² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442840728204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 378172539 + ... + 378173709.

It is an arithmetic number, because the mean of its divisors is an integer number (4017203456).

Almost surely, 2^442840728204 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 442840728204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674890180608).

442840728204 is an abundant number, since it is smaller than the sum of its proper divisors (906939633012).

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

442840728204 is a wasteful number, since it uses less digits than its factorization.

442840728204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 442840728204 in words is "four hundred forty-two billion, eight hundred forty million, seven hundred twenty-eight thousand, two hundred four".