400324313123249 has 2 divisors, whose sum is σ = 400324313123250. Its totient is φ = 400324313123248.

The previous prime is 400324313123179. The next prime is 400324313123311. The reversal of 400324313123249 is 942321313423004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384735200750224 + 15589112373025 = 19614668^2 + 3948305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400324313123249 is a prime.

It is a super-3 number, since 3×400324313123249³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (400324313123549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200162156561624 + 200162156561625.

It is an arithmetic number, because the mean of its divisors is an integer number (200162156561625).

Almost surely, 2^{400324313123249} is an apocalyptic number.

It is an amenable number.

400324313123249 is a deficient number, since it is larger than the sum of its proper divisors (1).

400324313123249 is an equidigital number, since it uses as much as digits as its factorization.

400324313123249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 373248, while the sum is 41.

The spelling of 400324313123249 in words is "four hundred trillion, three hundred twenty-four billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred forty-nine".