442465648016 has 80 divisors (see below), whose sum is σ = 1000078550400. Its totient is φ = 189563955840.

The previous prime is 442465647983. The next prime is 442465648019. The reversal of 442465648016 is 610846564244.

It is not an unprimeable number, because it can be changed into a prime (442465648019) 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, 18488090 + ... + 18512006.

It is an arithmetic number, because the mean of its divisors is an integer number (12500981880).

Almost surely, 2^442465648016 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 442465648016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500039275200).

442465648016 is an abundant number, since it is smaller than the sum of its proper divisors (557612902384).

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

442465648016 is a wasteful number, since it uses less digits than its factorization.

442465648016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27317 (or 27297 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 50.

The spelling of 442465648016 in words is "four hundred forty-two billion, four hundred sixty-five million, six hundred forty-eight thousand, sixteen".