442032222230244 has 72 divisors (see below), whose sum is σ = 1119589049156760. Its totient is φ = 147050074828800.

The previous prime is 442032222230237. The next prime is 442032222230327.

442032222230244 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 322 + 2 + 22 + 302 + 4 + 4 = 666.

442032222230244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 133134443792100 + 308897778438144 = 11538390^2 + 17575488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442032222230199 and 442032222230208.

It is an unprimeable number.

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, 247458252 + ... + 249238140.

It is an arithmetic number, because the mean of its divisors is an integer number (15549847904955).

Almost surely, 2^{442032222230244} is an apocalyptic number.

It is an amenable number.

442032222230244 is an abundant number, since it is smaller than the sum of its proper divisors (677556826926516).

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

442032222230244 is a wasteful number, since it uses less digits than its factorization.

442032222230244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793661 (or 1793656 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 442032222230244 in words is "four hundred forty-two trillion, thirty-two billion, two hundred twenty-two million, two hundred thirty thousand, two hundred forty-four".