1442316132441 has 48 divisors (see below), whose sum is σ = 2165603207040. Its totient is φ = 924252975360.

The previous prime is 1442316132419. The next prime is 1442316132487.

It is a happy number.

1442316132441 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 31 + 613 + 2 + 4 + 4 + 1 = 666.

1442316132441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1442316132441 - 2³⁸ = 1167438225497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1442316132396 and 1442316132405.

It is not an unprimeable number, because it can be changed into a prime (1442316132401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14321101 + ... + 14421461.

It is an arithmetic number, because the mean of its divisors is an integer number (45116733480).

Almost surely, 2^{1442316132441} is an apocalyptic number.

It is an amenable number.

1442316132441 is a deficient number, since it is larger than the sum of its proper divisors (723287074599).

1442316132441 is a wasteful number, since it uses less digits than its factorization.

1442316132441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100926 (or 100923 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 1442316132441 in words is "one trillion, four hundred forty-two billion, three hundred sixteen million, one hundred thirty-two thousand, four hundred forty-one".