400412101214017 has 2 divisors, whose sum is σ = 400412101214018. Its totient is φ = 400412101214016.

The previous prime is 400412101214003. The next prime is 400412101214029. The reversal of 400412101214017 is 710412101214004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330647527568656 + 69764573645361 = 18183716^2 + 8352519^2 .

It is a cyclic number.

It is not a de Polignac number, because 400412101214017 - 2⁷ = 400412101213889 is a prime.

It is not a weakly prime, because it can be changed into another prime (400412101614017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200206050607008 + 200206050607009.

It is an arithmetic number, because the mean of its divisors is an integer number (200206050607009).

Almost surely, 2^{400412101214017} is an apocalyptic number.

It is an amenable number.

400412101214017 is a deficient number, since it is larger than the sum of its proper divisors (1).

400412101214017 is an equidigital number, since it uses as much as digits as its factorization.

400412101214017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 400412101214017 in words is "four hundred trillion, four hundred twelve billion, one hundred one million, two hundred fourteen thousand, seventeen".