442430304424224 has 96 divisors (see below), whose sum is σ = 1169354410459200. Its totient is φ = 146464392729600.

The previous prime is 442430304424223. The next prime is 442430304424249. The reversal of 442430304424224 is 422424403034244.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (442430304424223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90464694 + ... + 95229834.

It is an arithmetic number, because the mean of its divisors is an integer number (12180775108950).

Almost surely, 2^{442430304424224} 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 442430304424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584677205229600).

442430304424224 is an abundant number, since it is smaller than the sum of its proper divisors (726924106034976).

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

442430304424224 is a wasteful number, since it uses less digits than its factorization.

442430304424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771794 (or 4771786 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 42.

Adding to 442430304424224 its reverse (422424403034244), we get a palindrome (864854707458468).

The spelling of 442430304424224 in words is "four hundred forty-two trillion, four hundred thirty billion, three hundred four million, four hundred twenty-four thousand, two hundred twenty-four".