417484400416 has 12 divisors (see below), whose sum is σ = 821922413382. Its totient is φ = 208742200192.

The previous prime is 417484400393. The next prime is 417484400441. The reversal of 417484400416 is 614004484714.

It can be written as a sum of positive squares in only one way, i.e., 411132310416 + 6352090000 = 641196^2 + 79700^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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 as a sum of consecutive naturals, namely, 6523193725 + ... + 6523193788.

Almost surely, 2^417484400416 is an apocalyptic number.

It is an amenable number.

417484400416 is a deficient number, since it is larger than the sum of its proper divisors (404438012966).

417484400416 is a wasteful number, since it uses less digits than its factorization.

417484400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13046387523 (or 13046387515 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The spelling of 417484400416 in words is "four hundred seventeen billion, four hundred eighty-four million, four hundred thousand, four hundred sixteen".