417724012205 has 16 divisors (see below), whose sum is σ = 503919529344. Its totient is φ = 332413798080.

The previous prime is 417724012187. The next prime is 417724012241. The reversal of 417724012205 is 502210427714.

It is not a de Polignac number, because 417724012205 - 2⁶ = 417724012141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1841399 + ... + 2055771.

It is an arithmetic number, because the mean of its divisors is an integer number (31494970584).

Almost surely, 2^417724012205 is an apocalyptic number.

It is an amenable number.

417724012205 is a deficient number, since it is larger than the sum of its proper divisors (86195517139).

417724012205 is a wasteful number, since it uses less digits than its factorization.

417724012205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216436.

The product of its (nonzero) digits is 31360, while the sum is 35.

Adding to 417724012205 its reverse (502210427714), we get a palindrome (919934439919).

The spelling of 417724012205 in words is "four hundred seventeen billion, seven hundred twenty-four million, twelve thousand, two hundred five".