441000000000001 has 8 divisors (see below), whose sum is σ = 476771026642344. Its totient is φ = 405492966174720.

The previous prime is 440999999999983. The next prime is 441000000000011. The reversal of 441000000000001 is 100000000000144.

It is a Cunningham number, because it is equal to 21000000²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 31364704176400 + 409635295823601 = 5600420^2 + 20239449^2 .

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 441000000000001 - 2⁴³ = 432203906977793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441000000000011) 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, 65998200790 + ... + 65998207471.

It is an arithmetic number, because the mean of its divisors is an integer number (59596378330293).

Almost surely, 2^{441000000000001} is an apocalyptic number.

It is an amenable number.

441000000000001 is a deficient number, since it is larger than the sum of its proper divisors (35771026642343).

441000000000001 is a wasteful number, since it uses less digits than its factorization.

441000000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131996408531.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 441000000000001 its reverse (100000000000144), we get a palindrome (541000000000145).

It can be divided in two parts, 44 and 1000000000001, that multiplied together give a palindrome (44000000000044).

The spelling of 441000000000001 in words is "four hundred forty-one trillion, one", and thus it is an aban number.