417270056101 has 8 divisors (see below), whose sum is σ = 418205692440. Its totient is φ = 416335458048.

The previous prime is 417270056017. The next prime is 417270056113. The reversal of 417270056101 is 101650072714.

It can be written as a sum of positive squares in 4 ways, for example, as 122448205476 + 294821850625 = 349926^2 + 542975^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 417270056101 - 2⁷ = 417270055973 is a prime.

It is a super-4 number, since 4×417270056101⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417270056141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547905 + ... + 1065241.

It is an arithmetic number, because the mean of its divisors is an integer number (52275711555).

Almost surely, 2^417270056101 is an apocalyptic number.

It is an amenable number.

417270056101 is a deficient number, since it is larger than the sum of its proper divisors (935636339).

417270056101 is an equidigital number, since it uses as much as digits as its factorization.

417270056101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519143.

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 417270056101 in words is "four hundred seventeen billion, two hundred seventy million, fifty-six thousand, one hundred one".