401404200137 has 2 divisors, whose sum is σ = 401404200138. Its totient is φ = 401404200136.

The previous prime is 401404200083. The next prime is 401404200149. The reversal of 401404200137 is 731002404104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401371664521 + 32535616 = 633539^2 + 5704^2 .

It is a cyclic number.

It is not a de Polignac number, because 401404200137 - 2¹⁰ = 401404199113 is a prime.

It is a super-2 number, since 2×401404200137² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401404200187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200702100068 + 200702100069.

It is an arithmetic number, because the mean of its divisors is an integer number (200702100069).

Almost surely, 2^401404200137 is an apocalyptic number.

It is an amenable number.

401404200137 is a deficient number, since it is larger than the sum of its proper divisors (1).

401404200137 is an equidigital number, since it uses as much as digits as its factorization.

401404200137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 26.

The spelling of 401404200137 in words is "four hundred one billion, four hundred four million, two hundred thousand, one hundred thirty-seven".