10441244214401 has 64 divisors (see below), whose sum is σ = 14998773350400. Its totient is φ = 6998274028800.

The previous prime is 10441244214377. The next prime is 10441244214421.

10441244214401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10441244214401 - 2⁶ = 10441244214337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10441244214421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3339761 + ... + 5660078.

It is an arithmetic number, because the mean of its divisors is an integer number (234355833600).

Almost surely, 2^{10441244214401} is an apocalyptic number.

10441244214401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10441244214401 is a deficient number, since it is larger than the sum of its proper divisors (4557529135999).

10441244214401 is a wasteful number, since it uses less digits than its factorization.

10441244214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999950.

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 1044124 and 4214401, that added together give a palindrome (5258525).

The spelling of 10441244214401 in words is "ten trillion, four hundred forty-one billion, two hundred forty-four million, two hundred fourteen thousand, four hundred one".