404004114101 has 32 divisors (see below), whose sum is σ = 471284352000. Its totient is φ = 339191648640.

The previous prime is 404004114089. The next prime is 404004114133. The reversal of 404004114101 is 101411400404.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 404004114101 - 2²² = 403999919797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404004116101) 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, 122460950 + ... + 122464248.

It is an arithmetic number, because the mean of its divisors is an integer number (14727636000).

Almost surely, 2^404004114101 is an apocalyptic number.

It is an amenable number.

404004114101 is a deficient number, since it is larger than the sum of its proper divisors (67280237899).

404004114101 is a wasteful number, since it uses less digits than its factorization.

404004114101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 404004114101 its reverse (101411400404), we get a palindrome (505415514505).

The spelling of 404004114101 in words is "four hundred four billion, four million, one hundred fourteen thousand, one hundred one".