442121140323401 has 48 divisors (see below), whose sum is σ = 560852732294400. Its totient is φ = 341123407447680.

The previous prime is 442121140323347. The next prime is 442121140323439. The reversal of 442121140323401 is 104323041121244.

It is not a de Polignac number, because 442121140323401 - 2¹⁴ = 442121140307017 is a prime.

It is a super-2 number, since 2×442121140323401² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442121140323461) 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 47 ways as a sum of consecutive naturals, for example, 721089395 + ... + 721702263.

It is an arithmetic number, because the mean of its divisors is an integer number (11684431922800).

Almost surely, 2^{442121140323401} is an apocalyptic number.

It is an amenable number.

442121140323401 is a deficient number, since it is larger than the sum of its proper divisors (118731591970999).

442121140323401 is a wasteful number, since it uses less digits than its factorization.

442121140323401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621270 (or 621259 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 442121140323401 its reverse (104323041121244), we get a palindrome (546444181444645).

The spelling of 442121140323401 in words is "four hundred forty-two trillion, one hundred twenty-one billion, one hundred forty million, three hundred twenty-three thousand, four hundred one".