4042404401 has 24 divisors (see below), whose sum is σ = 4859464320. Its totient is φ = 3350344032.

The previous prime is 4042404319. The next prime is 4042404403. The reversal of 4042404401 is 1044042404.

It is not a de Polignac number, because 4042404401 - 2¹⁴ = 4042388017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4042404403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288680 + ... + 302358.

It is an arithmetic number, because the mean of its divisors is an integer number (202477680).

Almost surely, 2^4042404401 is an apocalyptic number.

It is an amenable number.

4042404401 is a deficient number, since it is larger than the sum of its proper divisors (817059919).

4042404401 is a wasteful number, since it uses less digits than its factorization.

4042404401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893 (or 13886 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4042404401 is about 63579.9056384956. The cubic root of 4042404401 is about 1592.9907451859.

Adding to 4042404401 its reverse (1044042404), we get a palindrome (5086446805).

The spelling of 4042404401 in words is "four billion, forty-two million, four hundred four thousand, four hundred one".