442441142424401 has 8 divisors (see below), whose sum is σ = 456016089480744. Its totient is φ = 428951304754560.

The previous prime is 442441142424371. The next prime is 442441142424403. The reversal of 442441142424401 is 104424241144244.

It can be written as a sum of positive squares in 4 ways, for example, as 75407427225025 + 367033715199376 = 8683745^2 + 19158124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 442441142424401 - 2¹⁰ = 442441142423377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442441142424403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21277336070 + ... + 21277356863.

It is an arithmetic number, because the mean of its divisors is an integer number (57002011185093).

Almost surely, 2^{442441142424401} is an apocalyptic number.

It is an amenable number.

442441142424401 is a deficient number, since it is larger than the sum of its proper divisors (13574947056343).

442441142424401 is a wasteful number, since it uses less digits than its factorization.

442441142424401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42554693251.

The product of its (nonzero) digits is 524288, while the sum is 41.

Adding to 442441142424401 its reverse (104424241144244), we get a palindrome (546865383568645).

The spelling of 442441142424401 in words is "four hundred forty-two trillion, four hundred forty-one billion, one hundred forty-two million, four hundred twenty-four thousand, four hundred one".