214134220040417 has 2 divisors, whose sum is σ = 214134220040418. Its totient is φ = 214134220040416.

The previous prime is 214134220040383. The next prime is 214134220040459. The reversal of 214134220040417 is 714040022431412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150769690726561 + 63364529313856 = 12278831^2 + 7960184^2 .

It is a cyclic number.

It is not a de Polignac number, because 214134220040417 - 2¹⁶ = 214134219974881 is a prime.

It is a super-2 number, since 2×214134220040417² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (214134220040017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107067110020208 + 107067110020209.

It is an arithmetic number, because the mean of its divisors is an integer number (107067110020209).

Almost surely, 2^{214134220040417} is an apocalyptic number.

It is an amenable number.

214134220040417 is a deficient number, since it is larger than the sum of its proper divisors (1).

214134220040417 is an equidigital number, since it uses as much as digits as its factorization.

214134220040417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43008, while the sum is 35.

Adding to 214134220040417 its reverse (714040022431412), we get a palindrome (928174242471829).

The spelling of 214134220040417 in words is "two hundred fourteen trillion, one hundred thirty-four billion, two hundred twenty million, forty thousand, four hundred seventeen".