417959664004 has 9 divisors (see below), whose sum is σ = 731431674757. Its totient is φ = 208979185504.

The previous prime is 417959663999. The next prime is 417959664011. The reversal of 417959664004 is 400466959714.

The square root of 417959664004 is 646498.

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., 414733424004 + 3226240000 = 643998^2 + 56800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1131372 + ... + 1454620.

Almost surely, 2^417959664004 is an apocalyptic number.

417959664004 is the 646498-th square number.

It is an amenable number.

417959664004 is a deficient number, since it is larger than the sum of its proper divisors (313472010753).

417959664004 is an frugal number, since it uses more digits than its factorization.

417959664004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646502 (or 323251 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

It can be divided in two parts, 4179596 and 64004, that added together give a square (4243600 = 2060²).

The spelling of 417959664004 in words is "four hundred seventeen billion, nine hundred fifty-nine million, six hundred sixty-four thousand, four".