417004200001 has 2 divisors, whose sum is σ = 417004200002. Its totient is φ = 417004200000.

The previous prime is 417004199977. The next prime is 417004200013. The reversal of 417004200001 is 100002400714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 415019408400 + 1984791601 = 644220^2 + 44551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-417004200001 is a prime.

It is not a weakly prime, because it can be changed into another prime (417004200061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208502100000 + 208502100001.

It is an arithmetic number, because the mean of its divisors is an integer number (208502100001).

Almost surely, 2^417004200001 is an apocalyptic number.

It is an amenable number.

417004200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

417004200001 is an equidigital number, since it uses as much as digits as its factorization.

417004200001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 19.

Adding to 417004200001 its reverse (100002400714), we get a palindrome (517006600715).

The spelling of 417004200001 in words is "four hundred seventeen billion, four million, two hundred thousand, one".