442433606334244 has 48 divisors (see below), whose sum is σ = 899126317555200. Its totient is φ = 186575263744896.

The previous prime is 442433606334241. The next prime is 442433606334253.

442433606334244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442433606334191 and 442433606334200.

It is not an unprimeable number, because it can be changed into a prime (442433606334241) 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, 340674739 + ... + 341970970.

It is an arithmetic number, because the mean of its divisors is an integer number (18731798282400).

Almost surely, 2^{442433606334244} is an apocalyptic number.

It is an amenable number.

442433606334244 is an abundant number, since it is smaller than the sum of its proper divisors (456692711220956).

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

442433606334244 is a wasteful number, since it uses less digits than its factorization.

442433606334244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682646092 (or 682646090 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 52.

The spelling of 442433606334244 in words is "four hundred forty-two trillion, four hundred thirty-three billion, six hundred six million, three hundred thirty-four thousand, two hundred forty-four".