4000655422417 has 2 divisors, whose sum is σ = 4000655422418. Its totient is φ = 4000655422416.

The previous prime is 4000655422403. The next prime is 4000655422451. The reversal of 4000655422417 is 7142245560004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2011903949056 + 1988751473361 = 1418416^2 + 1410231^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4000655422417 is a prime.

It is a super-2 number, since 2×4000655422417² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4000655422417.

It is not a weakly prime, because it can be changed into another prime (4000655422117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000327711208 + 2000327711209.

It is an arithmetic number, because the mean of its divisors is an integer number (2000327711209).

Almost surely, 2^{4000655422417} is an apocalyptic number.

It is an amenable number.

4000655422417 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000655422417 is an equidigital number, since it uses as much as digits as its factorization.

4000655422417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 4000655422417 in words is "four trillion, six hundred fifty-five million, four hundred twenty-two thousand, four hundred seventeen".