442142543844 has 405 divisors, whose sum is σ = 1282709795521. Its totient is φ = 132774819840.

The previous prime is 442142543837. The next prime is 442142543873. The reversal of 442142543844 is 448345241244.

It is a happy number.

The square root of 442142543844 is 664938.

It is a perfect power (a square), and thus also a powerful number.

442142543844 is a `hidden beast` number, since 4 + 4 + 2 + 14 + 254 + 384 + 4 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 238669377444 + 203473166400 = 488538^2 + 451080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442142543844.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8342312122 + ... + 8342312174.

Almost surely, 2^442142543844 is an apocalyptic number.

442142543844 is the 664938-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442142543844

442142543844 is an abundant number, since it is smaller than the sum of its proper divisors (840567251677).

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

442142543844 is a wasteful number, since it uses less digits than its factorization.

442142543844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 116 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 45.

The spelling of 442142543844 in words is "four hundred forty-two billion, one hundred forty-two million, five hundred forty-three thousand, eight hundred forty-four".