10440433404401 has 64 divisors (see below), whose sum is σ = 14364983646720. Its totient is φ = 7325316311040.

The previous prime is 10440433404377. The next prime is 10440433404419.

10440433404401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10440433404401 - 2⁶ = 10440433404337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10440433404301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8609405 + ... + 9746933.

It is an arithmetic number, because the mean of its divisors is an integer number (224452869480).

Almost surely, 2^{10440433404401} is an apocalyptic number.

10440433404401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10440433404401 is a deficient number, since it is larger than the sum of its proper divisors (3924550242319).

10440433404401 is a wasteful number, since it uses less digits than its factorization.

10440433404401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137786.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 1044043 and 3404401, that added together give a palindrome (4448444).

The spelling of 10440433404401 in words is "ten trillion, four hundred forty billion, four hundred thirty-three million, four hundred four thousand, four hundred one".