417057406016 has 56 divisors (see below), whose sum is σ = 842061182016. Its totient is φ = 204891793920.

The previous prime is 417057405977. The next prime is 417057406019. The reversal of 417057406016 is 610604750714.

It is not an unprimeable number, because it can be changed into a prime (417057406019) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3640685 + ... + 3753491.

Almost surely, 2^417057406016 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 417057406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421030591008).

417057406016 is an abundant number, since it is smaller than the sum of its proper divisors (425003776000).

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

417057406016 is a wasteful number, since it uses less digits than its factorization.

417057406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113827 (or 113817 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 417057406016 in words is "four hundred seventeen billion, fifty-seven million, four hundred six thousand, sixteen".