442141128 has 96 divisors (see below), whose sum is σ = 1406845440. Its totient is φ = 123672960.

The previous prime is 442141111. The next prime is 442141129. The reversal of 442141128 is 821141244.

It is a super-2 number, since 2×442141128² = 390977554138224768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (442141129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11176 + ... + 31767.

It is an arithmetic number, because the mean of its divisors is an integer number (14654640).

Almost surely, 2^442141128 is an apocalyptic number.

It is an amenable number.

442141128 is an abundant number, since it is smaller than the sum of its proper divisors (964704312).

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

442141128 is a wasteful number, since it uses less digits than its factorization.

442141128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42979 (or 42972 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 442141128 is about 21027.1521609561. The cubic root of 442141128 is about 761.8222248393.

The spelling of 442141128 in words is "four hundred forty-two million, one hundred forty-one thousand, one hundred twenty-eight".