404234032100433 has 32 divisors (see below), whose sum is σ = 569881441382400. Its totient is φ = 254165366359296.

The previous prime is 404234032100419. The next prime is 404234032100461. The reversal of 404234032100433 is 334001230432404.

It is a happy number.

It is not a de Polignac number, because 404234032100433 - 2²⁸ = 404233763664977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404234032100394 and 404234032100403.

It is not an unprimeable number, because it can be changed into a prime (404234032100533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43841785 + ... + 52254857.

It is an arithmetic number, because the mean of its divisors is an integer number (17808795043200).

Almost surely, 2^{404234032100433} is an apocalyptic number.

It is an amenable number.

404234032100433 is a deficient number, since it is larger than the sum of its proper divisors (165647409281967).

404234032100433 is a wasteful number, since it uses less digits than its factorization.

404234032100433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416861.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 404234032100433 its reverse (334001230432404), we get a palindrome (738235262532837).

The spelling of 404234032100433 in words is "four hundred four trillion, two hundred thirty-four billion, thirty-two million, one hundred thousand, four hundred thirty-three".