442266363008 has 72 divisors (see below), whose sum is σ = 902704564755. Its totient is φ = 215832546048.

The previous prime is 442266362971. The next prime is 442266363013. The reversal of 442266363008 is 800363662244.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 221133181504 + 221133181504 = 470248^2 + 470248^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=470248.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442266363008.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 323529941 + ... + 323531307.

Almost surely, 2^442266363008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442266363008

442266363008 is an abundant number, since it is smaller than the sum of its proper divisors (460438201747).

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

442266363008 is an frugal number, since it uses more digits than its factorization.

442266363008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

The spelling of 442266363008 in words is "four hundred forty-two billion, two hundred sixty-six million, three hundred sixty-three thousand, eight".