442220204016 has 60 divisors (see below), whose sum is σ = 1291411185168. Its totient is φ = 140997745152.

The previous prime is 442220204011. The next prime is 442220204087. The reversal of 442220204016 is 610402022244.

442220204016 is a `hidden beast` number, since 4 + 422 + 20 + 204 + 0 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442220204011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66756985 + ... + 66763608.

Almost surely, 2^442220204016 is an apocalyptic number.

442220204016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

442220204016 is an abundant number, since it is smaller than the sum of its proper divisors (849190981152).

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

442220204016 is a wasteful number, since it uses less digits than its factorization.

442220204016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133520630 (or 133520621 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 442220204016 in words is "four hundred forty-two billion, two hundred twenty million, two hundred four thousand, sixteen".