417999747841 has 27 divisors (see below), whose sum is σ = 464318673147. Its totient is φ = 376124711040.

The previous prime is 417999747827. The next prime is 417999747881. The reversal of 417999747841 is 148747999714.

The square root of 417999747841 is 646529.

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

It can be written as a sum of positive squares in 13 ways, for example, as 223236405441 + 194763342400 = 472479^2 + 441320^2 .

It is not a de Polignac number, because 417999747841 - 2¹³ = 417999739649 is a prime.

It is a super-2 number, since 2×417999747841² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417999747811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 344599351 + ... + 344600563.

Almost surely, 2^417999747841 is an apocalyptic number.

417999747841 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

417999747841 is the 646529-th square number.

417999747841 is the 323265-th centered octagonal number.

It is an amenable number.

417999747841 is a deficient number, since it is larger than the sum of its proper divisors (46318925306).

417999747841 is an frugal number, since it uses more digits than its factorization.

417999747841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 1267 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 70.

The spelling of 417999747841 in words is "four hundred seventeen billion, nine hundred ninety-nine million, seven hundred forty-seven thousand, eight hundred forty-one".