442344411321 has 32 divisors (see below), whose sum is σ = 607361642496. Its totient is φ = 286189008000.

The previous prime is 442344411281. The next prime is 442344411361. The reversal of 442344411321 is 123114443244.

It is a happy number.

442344411321 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (442344411281) and next prime (442344411361).

It is not a de Polignac number, because 442344411321 - 2⁷ = 442344411193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442344411361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70355440 + ... + 70361726.

It is an arithmetic number, because the mean of its divisors is an integer number (18980051328).

Almost surely, 2^442344411321 is an apocalyptic number.

442344411321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

442344411321 is a deficient number, since it is larger than the sum of its proper divisors (165017231175).

442344411321 is a wasteful number, since it uses less digits than its factorization.

442344411321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9253.

The product of its digits is 36864, while the sum is 33.

Adding to 442344411321 its reverse (123114443244), we get a palindrome (565458854565).

The spelling of 442344411321 in words is "four hundred forty-two billion, three hundred forty-four million, four hundred eleven thousand, three hundred twenty-one".