442144123304224 has 48 divisors (see below), whose sum is σ = 982349991846720. Its totient is φ = 194044442824960.

The previous prime is 442144123304201. The next prime is 442144123304227. The reversal of 442144123304224 is 422403321441244.

It is not an unprimeable number, because it can be changed into a prime (442144123304227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21656735644 + ... + 21656756059.

It is an arithmetic number, because the mean of its divisors is an integer number (20465624830140).

Almost surely, 2^{442144123304224} is an apocalyptic number.

442144123304224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442144123304224 is an abundant number, since it is smaller than the sum of its proper divisors (540205868542496).

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

442144123304224 is a wasteful number, since it uses less digits than its factorization.

442144123304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43313491753 (or 43313491745 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 442144123304224 its reverse (422403321441244), we get a palindrome (864547444745468).

The spelling of 442144123304224 in words is "four hundred forty-two trillion, one hundred forty-four billion, one hundred twenty-three million, three hundred four thousand, two hundred twenty-four".