417942208512 has 266 divisors, whose sum is σ = 1253823971908. Its totient is φ = 139314069504.

The previous prime is 417942208511. The next prime is 417942208529. The reversal of 417942208512 is 215802249714.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)² ⋅ (3!)¹¹ ⋅ 2!.

417942208512 is a `hidden beast` number, since 4 + 1 + 79 + 42 + 20 + 8 + 512 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=5184.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (417942208511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 139314069503 + 139314069504 + 139314069505.

Almost surely, 2^417942208512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417942208512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626911985954).

417942208512 is an abundant number, since it is smaller than the sum of its proper divisors (835881763396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417942208512 is an frugal number, since it uses more digits than its factorization.

417942208512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 417942208512 in words is "four hundred seventeen billion, nine hundred forty-two million, two hundred eight thousand, five hundred twelve".