442230222032244 has 18 divisors (see below), whose sum is σ = 1117859727914930. Its totient is φ = 147410074010736.

The previous prime is 442230222032197. The next prime is 442230222032317.

442230222032244 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 302 + 2 + 20 + 322 + 4 + 4 = 666.

442230222032244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 332713578431844 + 109516643600400 = 18240438^2 + 10465020^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12284172834229 = 442230222032244 / (4 + 4 + 2 + 2 + 3 + 0 + 2 + 2 + 2 + 0 + 3 + 2 + 2 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 442230222032199 and 442230222032208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6142086417079 + ... + 6142086417150.

Almost surely, 2^{442230222032244} is an apocalyptic number.

It is an amenable number.

442230222032244 is an abundant number, since it is smaller than the sum of its proper divisors (675629505882686).

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

442230222032244 is a wasteful number, since it uses less digits than its factorization.

442230222032244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12284172834239 (or 12284172834234 counting only the distinct ones).

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

The spelling of 442230222032244 in words is "four hundred forty-two trillion, two hundred thirty billion, two hundred twenty-two million, thirty-two thousand, two hundred forty-four".