10441466414401 has 16 divisors (see below), whose sum is σ = 11413832705280. Its totient is φ = 9472969770880.

The previous prime is 10441466414399. The next prime is 10441466414419.

10441466414401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10441466414401 - 2¹ = 10441466414399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10441466454401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16293435 + ... + 16922143.

It is an arithmetic number, because the mean of its divisors is an integer number (713364544080).

Almost surely, 2^{10441466414401} is an apocalyptic number.

10441466414401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10441466414401 is a deficient number, since it is larger than the sum of its proper divisors (972366290879).

10441466414401 is a wasteful number, since it uses less digits than its factorization.

10441466414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631784.

The product of its (nonzero) digits is 147456, while the sum is 40.

It can be divided in two parts, 1044146 and 6414401, that added together give a palindrome (7458547).

The spelling of 10441466414401 in words is "ten trillion, four hundred forty-one billion, four hundred sixty-six million, four hundred fourteen thousand, four hundred one".