442536101635244 has 48 divisors (see below), whose sum is σ = 817270694392320. Its totient is φ = 209090081592000.

The previous prime is 442536101635189. The next prime is 442536101635249.

442536101635244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442536101635192 and 442536101635201.

It is not an unprimeable number, because it can be changed into a prime (442536101635249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42514154 + ... + 51889550.

It is an arithmetic number, because the mean of its divisors is an integer number (17026472799840).

Almost surely, 2^{442536101635244} is an apocalyptic number.

It is an amenable number.

442536101635244 is a deficient number, since it is larger than the sum of its proper divisors (374734592757076).

442536101635244 is a wasteful number, since it uses less digits than its factorization.

442536101635244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376998 (or 9376996 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 50.

It can be divided in two parts, 44253610 and 1635244, that added together give a palindrome (45888854).

The spelling of 442536101635244 in words is "four hundred forty-two trillion, five hundred thirty-six billion, one hundred one million, six hundred thirty-five thousand, two hundred forty-four".