404214131442121 has 64 divisors (see below), whose sum is σ = 560239110144000. Its totient is φ = 281359132934400.

The previous prime is 404214131442073. The next prime is 404214131442169. The reversal of 404214131442121 is 121244131412404.

It is an interprime number because it is at equal distance from previous prime (404214131442073) and next prime (404214131442169).

It is not a de Polignac number, because 404214131442121 - 2³³ = 404205541507529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404214131442421) 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 63 ways as a sum of consecutive naturals, for example, 2220145990 + ... + 2220328048.

It is an arithmetic number, because the mean of its divisors is an integer number (8753736096000).

Almost surely, 2^{404214131442121} is an apocalyptic number.

It is an amenable number.

404214131442121 is a deficient number, since it is larger than the sum of its proper divisors (156024978701879).

404214131442121 is a wasteful number, since it uses less digits than its factorization.

404214131442121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253670.

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 404214131442121 its reverse (121244131412404), we get a palindrome (525458262854525).

The spelling of 404214131442121 in words is "four hundred four trillion, two hundred fourteen billion, one hundred thirty-one million, four hundred forty-two thousand, one hundred twenty-one".