441431331010001 has 8 divisors (see below), whose sum is σ = 446746441814400. Its totient is φ = 436136015777472.

The previous prime is 441431331009887. The next prime is 441431331010057. The reversal of 441431331010001 is 100010133134144.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-441431331010001 is a prime.

It is a super-2 number, since 2×441431331010001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441431331910001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4948848101 + ... + 4948937298.

It is an arithmetic number, because the mean of its divisors is an integer number (55843305226800).

Almost surely, 2^{441431331010001} is an apocalyptic number.

It is an amenable number.

441431331010001 is a deficient number, since it is larger than the sum of its proper divisors (5315110804399).

441431331010001 is a wasteful number, since it uses less digits than its factorization.

441431331010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9897785935.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 441431331010001 its reverse (100010133134144), we get a palindrome (541441464144145).

The spelling of 441431331010001 in words is "four hundred forty-one trillion, four hundred thirty-one billion, three hundred thirty-one million, ten thousand, one".