404135121313211 has 32 divisors (see below), whose sum is σ = 430221251154240. Its totient is φ = 379079722137600.

The previous prime is 404135121313171. The next prime is 404135121313243. The reversal of 404135121313211 is 112313121531404.

It is a cyclic number.

It is not a de Polignac number, because 404135121313211 - 2²⁶ = 404135054204347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404135121313111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220102016 + ... + 221930546.

It is an arithmetic number, because the mean of its divisors is an integer number (13444414098570).

Almost surely, 2^{404135121313211} is an apocalyptic number.

404135121313211 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

404135121313211 is a deficient number, since it is larger than the sum of its proper divisors (26086129841029).

404135121313211 is a wasteful number, since it uses less digits than its factorization.

404135121313211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830335.

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 404135121313211 its reverse (112313121531404), we get a palindrome (516448242844615).

The spelling of 404135121313211 in words is "four hundred four trillion, one hundred thirty-five billion, one hundred twenty-one million, three hundred thirteen thousand, two hundred eleven".