443141223440401 has 8 divisors (see below), whose sum is σ = 443305736610408. Its totient is φ = 442976740800000.

The previous prime is 443141223440329. The next prime is 443141223440453. The reversal of 443141223440401 is 104044322141344.

It can be written as a sum of positive squares in 4 ways, for example, as 26149467459025 + 416991755981376 = 5113655^2 + 20420376^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 443141223440401 - 2³⁵ = 443106863702033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (443141223440701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21423771 + ... + 36677791.

It is an arithmetic number, because the mean of its divisors is an integer number (55413217076301).

Almost surely, 2^{443141223440401} is an apocalyptic number.

It is an amenable number.

443141223440401 is a deficient number, since it is larger than the sum of its proper divisors (164513170007).

443141223440401 is a wasteful number, since it uses less digits than its factorization.

443141223440401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15264803.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 443141223440401 its reverse (104044322141344), we get a palindrome (547185545581745).

The spelling of 443141223440401 in words is "four hundred forty-three trillion, one hundred forty-one billion, two hundred twenty-three million, four hundred forty thousand, four hundred one".