404430242034404 has 48 divisors (see below), whose sum is σ = 728051876596800. Its totient is φ = 196489962155136.

The previous prime is 404430242034373. The next prime is 404430242034409.

404430242034404 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (404430242034409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77759762 + ... + 82797590.

It is an arithmetic number, because the mean of its divisors is an integer number (15167747429100).

Almost surely, 2^{404430242034404} is an apocalyptic number.

It is an amenable number.

404430242034404 is a deficient number, since it is larger than the sum of its proper divisors (323621634562396).

404430242034404 is a wasteful number, since it uses less digits than its factorization.

404430242034404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041532 (or 5041530 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

The spelling of 404430242034404 in words is "four hundred four trillion, four hundred thirty billion, two hundred forty-two million, thirty-four thousand, four hundred four".