442141504014201 has 16 divisors (see below), whose sum is σ = 589881161337600. Its totient is φ = 294581450476800.

The previous prime is 442141504014139. The next prime is 442141504014283. The reversal of 442141504014201 is 102410405141244.

It is not a de Polignac number, because 442141504014201 - 2⁹ = 442141504013689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442141504015201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65498256 + ... + 71932638.

It is an arithmetic number, because the mean of its divisors is an integer number (36867572583600).

Almost surely, 2^{442141504014201} is an apocalyptic number.

It is an amenable number.

442141504014201 is a deficient number, since it is larger than the sum of its proper divisors (147739657323399).

442141504014201 is a wasteful number, since it uses less digits than its factorization.

442141504014201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448336.

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 442141504014201 its reverse (102410405141244), we get a palindrome (544551909155445).

The spelling of 442141504014201 in words is "four hundred forty-two trillion, one hundred forty-one billion, five hundred four million, fourteen thousand, two hundred one".