442133236161 has 32 divisors (see below), whose sum is σ = 656221824000. Its totient is φ = 294211661184.

The previous prime is 442133236091. The next prime is 442133236187. The reversal of 442133236161 is 161632331244.

442133236161 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 3 + 32 + 3 + 616 + 1 = 666.

It is not a de Polignac number, because 442133236161 - 2¹³ = 442133227969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442133236261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38883685 + ... + 38895053.

It is an arithmetic number, because the mean of its divisors is an integer number (20506932000).

Almost surely, 2^442133236161 is an apocalyptic number.

It is an amenable number.

442133236161 is a deficient number, since it is larger than the sum of its proper divisors (214088587839).

442133236161 is a wasteful number, since it uses less digits than its factorization.

442133236161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13910 (or 13904 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 442133236161 in words is "four hundred forty-two billion, one hundred thirty-three million, two hundred thirty-six thousand, one hundred sixty-one".