404430234310401 has 48 divisors (see below), whose sum is σ = 610864874006400. Its totient is φ = 237447288139776.

The previous prime is 404430234310387. The next prime is 404430234310411. The reversal of 404430234310401 is 104013432034404.

It is not a de Polignac number, because 404430234310401 - 2¹⁸ = 404430234048257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (404430234310411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40042656 + ... + 49114913.

It is an arithmetic number, because the mean of its divisors is an integer number (12726351541800).

Almost surely, 2^{404430234310401} is an apocalyptic number.

It is an amenable number.

404430234310401 is a deficient number, since it is larger than the sum of its proper divisors (206434639695999).

404430234310401 is a wasteful number, since it uses less digits than its factorization.

404430234310401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89158010 (or 89157997 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 404430234310401 its reverse (104013432034404), we get a palindrome (508443666344805).

The spelling of 404430234310401 in words is "four hundred four trillion, four hundred thirty billion, two hundred thirty-four million, three hundred ten thousand, four hundred one".