442404420216 has 128 divisors (see below), whose sum is σ = 1277808998400. Its totient is φ = 126319121280.

The previous prime is 442404420187. The next prime is 442404420247. The reversal of 442404420216 is 612024404244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136906 + ... + 950553.

It is an arithmetic number, because the mean of its divisors is an integer number (9982882800).

Almost surely, 2^442404420216 is an apocalyptic number.

442404420216 is a gapful number since it is divisible by the number (46) 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 442404420216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638904499200).

442404420216 is an abundant number, since it is smaller than the sum of its proper divisors (835404578184).

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

442404420216 is a wasteful number, since it uses less digits than its factorization.

442404420216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087569 (or 1087565 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 442404420216 in words is "four hundred forty-two billion, four hundred four million, four hundred twenty thousand, two hundred sixteen".