442412222214244 has 24 divisors (see below), whose sum is σ = 774756196800768. Its totient is φ = 221053356471840.

The previous prime is 442412222214229. The next prime is 442412222214283.

442412222214244 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×442412222214244³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 442412222214197 and 442412222214206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31224262 + ... + 43125154.

It is an arithmetic number, because the mean of its divisors is an integer number (32281508200032).

Almost surely, 2^{442412222214244} is an apocalyptic number.

It is an amenable number.

442412222214244 is a deficient number, since it is larger than the sum of its proper divisors (332343974586524).

442412222214244 is a wasteful number, since it uses less digits than its factorization.

442412222214244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11907315 (or 11907313 counting only the distinct ones).

The product of its digits is 524288, while the sum is 40.

The spelling of 442412222214244 in words is "four hundred forty-two trillion, four hundred twelve billion, two hundred twenty-two million, two hundred fourteen thousand, two hundred forty-four".