417957078016 has 99 divisors (see below), whose sum is σ = 848738044369. Its totient is φ = 205720199168.

The previous prime is 417957077971. The next prime is 417957078029. The reversal of 417957078016 is 610870759714.

The square root of 417957078016 is 646496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80256623616 + 337700454400 = 283296^2 + 581120^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1841220495 + ... + 1841220721.

Almost surely, 2^417957078016 is an apocalyptic number.

417957078016 is the 646496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417957078016

417957078016 is an abundant number, since it is smaller than the sum of its proper divisors (430780966353).

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

417957078016 is an frugal number, since it uses more digits than its factorization.

417957078016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 55.

The spelling of 417957078016 in words is "four hundred seventeen billion, nine hundred fifty-seven million, seventy-eight thousand, sixteen".