400214400217 has 2 divisors, whose sum is σ = 400214400218. Its totient is φ = 400214400216.

The previous prime is 400214400193. The next prime is 400214400241. The reversal of 400214400217 is 712004412004.

It is a balanced prime because it is at equal distance from previous prime (400214400193) and next prime (400214400241).

It can be written as a sum of positive squares in only one way, i.e., 328700408976 + 71513991241 = 573324^2 + 267421^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400214400217 is a prime.

It is a super-2 number, since 2×400214400217² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400214400191 and 400214400200.

It is not a weakly prime, because it can be changed into another prime (400214440217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200107200108 + 200107200109.

It is an arithmetic number, because the mean of its divisors is an integer number (200107200109).

Almost surely, 2^400214400217 is an apocalyptic number.

It is an amenable number.

400214400217 is a deficient number, since it is larger than the sum of its proper divisors (1).

400214400217 is an equidigital number, since it uses as much as digits as its factorization.

400214400217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 25.

The spelling of 400214400217 in words is "four hundred billion, two hundred fourteen million, four hundred thousand, two hundred seventeen".