404121441012137 has 2 divisors, whose sum is σ = 404121441012138. Its totient is φ = 404121441012136.

The previous prime is 404121441012103. The next prime is 404121441012187. The reversal of 404121441012137 is 731210144121404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 379520426288656 + 24601014723481 = 19481284^2 + 4959941^2 .

It is a cyclic number.

It is not a de Polignac number, because 404121441012137 - 2¹⁸ = 404121440749993 is a prime.

It is a super-2 number, since 2×404121441012137² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404121441012097 and 404121441012106.

It is not a weakly prime, because it can be changed into another prime (404121441012187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202060720506068 + 202060720506069.

It is an arithmetic number, because the mean of its divisors is an integer number (202060720506069).

Almost surely, 2^{404121441012137} is an apocalyptic number.

It is an amenable number.

404121441012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

404121441012137 is an equidigital number, since it uses as much as digits as its factorization.

404121441012137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 404121441012137 in words is "four hundred four trillion, one hundred twenty-one billion, four hundred forty-one million, twelve thousand, one hundred thirty-seven".