442042230325329 has 12 divisors (see below), whose sum is σ = 639175439034756. Its totient is φ = 294385591648512.

The previous prime is 442042230325313. The next prime is 442042230325387. The reversal of 442042230325329 is 923523032240244.

442042230325329 is a `hidden beast` number, since 4 + 4 + 20 + 42 + 23 + 0 + 32 + 532 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198465404450625 + 243576825874704 = 14087775^2 + 15606948^2 .

It is not a de Polignac number, because 442042230325329 - 2⁴ = 442042230325313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442042230325309) 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 11 ways as a sum of consecutive naturals, for example, 25769038312 + ... + 25769055465.

It is an arithmetic number, because the mean of its divisors is an integer number (53264619919563).

Almost surely, 2^{442042230325329} is an apocalyptic number.

It is an amenable number.

442042230325329 is a deficient number, since it is larger than the sum of its proper divisors (197133208709427).

442042230325329 is a wasteful number, since it uses less digits than its factorization.

442042230325329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51538094736 (or 51538094733 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 442042230325329 in words is "four hundred forty-two trillion, forty-two billion, two hundred thirty million, three hundred twenty-five thousand, three hundred twenty-nine".