442141464141244 has 96 divisors (see below), whose sum is σ = 931651092377600. Its totient is φ = 183334479451200.

The previous prime is 442141464141233. The next prime is 442141464141253.

It is a happy number.

442141464141244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442141464141194 and 442141464141203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184118959 + ... + 186504889.

Almost surely, 2^{442141464141244} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442141464141244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465825546188800).

442141464141244 is an abundant number, since it is smaller than the sum of its proper divisors (489509628236356).

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

442141464141244 is a wasteful number, since it uses less digits than its factorization.

442141464141244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390344 (or 2390328 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 46.

The spelling of 442141464141244 in words is "four hundred forty-two trillion, one hundred forty-one billion, four hundred sixty-four million, one hundred forty-one thousand, two hundred forty-four".