400214400193 has 2 divisors, whose sum is σ = 400214400194. Its totient is φ = 400214400192.

The previous prime is 400214400191. The next prime is 400214400217. The reversal of 400214400193 is 391004412004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 378738083889 + 21476316304 = 615417^2 + 146548^2 .

It is a cyclic number.

It is not a de Polignac number, because 400214400193 - 2¹ = 400214400191 is a prime.

It is a super-2 number, since 2×400214400193² (a number of 24 digits) contains 22 as substring.

Together with 400214400191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (400214400191) 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, 200107200096 + 200107200097.

It is an arithmetic number, because the mean of its divisors is an integer number (200107200097).

Almost surely, 2^400214400193 is an apocalyptic number.

It is an amenable number.

400214400193 is a deficient number, since it is larger than the sum of its proper divisors (1).

400214400193 is an equidigital number, since it uses as much as digits as its factorization.

400214400193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 400214400193 its reverse (391004412004), we get a palindrome (791218812197).

The spelling of 400214400193 in words is "four hundred billion, two hundred fourteen million, four hundred thousand, one hundred ninety-three".