404414404121411 has 16 divisors (see below), whose sum is σ = 425826883372800. Its totient is φ = 383014682244000.

The previous prime is 404414404121407. The next prime is 404414404121543. The reversal of 404414404121411 is 114121404414404.

It is a cyclic number.

It is not a de Polignac number, because 404414404121411 - 2² = 404414404121407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404414404121401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3205733186 + ... + 3205859336.

It is an arithmetic number, because the mean of its divisors is an integer number (26614180210800).

Almost surely, 2^{404414404121411} is an apocalyptic number.

404414404121411 is a deficient number, since it is larger than the sum of its proper divisors (21412479251389).

404414404121411 is a wasteful number, since it uses less digits than its factorization.

404414404121411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175370.

The product of its (nonzero) digits is 32768, while the sum is 35.

Adding to 404414404121411 its reverse (114121404414404), we get a palindrome (518535808535815).

The spelling of 404414404121411 in words is "four hundred four trillion, four hundred fourteen billion, four hundred four million, one hundred twenty-one thousand, four hundred eleven".