442021323120244 has 192 divisors, whose sum is σ = 900598725734400. Its totient is φ = 185932275904512.

The previous prime is 442021323120197. The next prime is 442021323120271.

442021323120244 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252151352872 + ... + 252151354624.

It is an arithmetic number, because the mean of its divisors is an integer number (4690618363200).

Almost surely, 2^{442021323120244} is an apocalyptic number.

It is an amenable number.

442021323120244 is an abundant number, since it is smaller than the sum of its proper divisors (458577402614156).

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

442021323120244 is a wasteful number, since it uses less digits than its factorization.

442021323120244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 442021323120244 in words is "four hundred forty-two trillion, twenty-one billion, three hundred twenty-three million, one hundred twenty thousand, two hundred forty-four".