10441222214401 has 6 divisors (see below), whose sum is σ = 11476715326706. Its totient is φ = 9492020194800.

The previous prime is 10441222214363. The next prime is 10441222214447.

10441222214401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 8174315573776 + 2266906640625 = 2859076^2 + 1505625^2 .

It is not a de Polignac number, because 10441222214401 - 2¹⁷ = 10441222083329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10441222214401.

It is not an unprimeable number, because it can be changed into a prime (10441226214401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43145546220 + ... + 43145546461.

Almost surely, 2^{10441222214401} is an apocalyptic number.

10441222214401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10441222214401 is a deficient number, since it is larger than the sum of its proper divisors (1035493112305).

10441222214401 is an equidigital number, since it uses as much as digits as its factorization.

10441222214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86291092703 (or 86291092692 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 1044122 and 2214401, that added together give a palindrome (3258523).

The spelling of 10441222214401 in words is "ten trillion, four hundred forty-one billion, two hundred twenty-two million, two hundred fourteen thousand, four hundred one".