442544343445244 has 24 divisors (see below), whose sum is σ = 785362722480000. Its totient is φ = 218155012723760.

The previous prime is 442544343445201. The next prime is 442544343445247.

442544343445244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442544343445244² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442544343445244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442544343445247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101380187 + ... + 105655245.

It is an arithmetic number, because the mean of its divisors is an integer number (32723446770000).

Almost surely, 2^{442544343445244} is an apocalyptic number.

It is an amenable number.

442544343445244 is a deficient number, since it is larger than the sum of its proper divisors (342818379034756).

442544343445244 is a wasteful number, since it uses less digits than its factorization.

442544343445244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639633 (or 4639631 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 56.

The spelling of 442544343445244 in words is "four hundred forty-two trillion, five hundred forty-four billion, three hundred forty-three million, four hundred forty-five thousand, two hundred forty-four".