442224422244 has 72 divisors (see below), whose sum is σ = 1252425964608. Its totient is φ = 130385574720.

The previous prime is 442224422243. The next prime is 442224422249.

442224422244 is a `hidden beast` number, since 4 + 4 + 2 + 224 + 422 + 2 + 4 + 4 = 666.

442224422244 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442224422199 and 442224422208.

It is not an unprimeable number, because it can be changed into a prime (442224422243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15076272 + ... + 15105575.

It is an arithmetic number, because the mean of its divisors is an integer number (17394805064).

Almost surely, 2^442224422244 is an apocalyptic number.

442224422244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442224422244 is an abundant number, since it is smaller than the sum of its proper divisors (810201542364).

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

442224422244 is a wasteful number, since it uses less digits than its factorization.

442224422244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30181905 (or 30181900 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

It can be divided in two parts, 442224 and 422244, that added together give a palindrome (864468).

The spelling of 442224422244 in words is "four hundred forty-two billion, two hundred twenty-four million, four hundred twenty-two thousand, two hundred forty-four".