442120010200 has 96 divisors (see below), whose sum is σ = 1121691778560. Its totient is φ = 160725801600.

The previous prime is 442120010177. The next prime is 442120010201. The reversal of 442120010200 is 2010021244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442120010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8384317 + ... + 8436883.

It is an arithmetic number, because the mean of its divisors is an integer number (11684289360).

Almost surely, 2^442120010200 is an apocalyptic number.

442120010200 is a gapful number since it is divisible by the number (40) 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 442120010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560845889280).

442120010200 is an abundant number, since it is smaller than the sum of its proper divisors (679571768360).

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

442120010200 is a wasteful number, since it uses less digits than its factorization.

442120010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56417 (or 56408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 442120010200 its reverse (2010021244), we get a palindrome (444130031444).

The spelling of 442120010200 in words is "four hundred forty-two billion, one hundred twenty million, ten thousand, two hundred".