416557940569 has 9 divisors (see below), whose sum is σ = 417679449789. Its totient is φ = 415439439840.

The previous prime is 416557940567. The next prime is 416557940597. The reversal of 416557940569 is 965049755614.

It is a happy number.

The square root of 416557940569 is 645413.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3350673225 + 413207267344 = 57885^2 + 642812^2 .

It is not a de Polignac number, because 416557940569 - 2¹ = 416557940567 is a prime.

It is a super-2 number, since 2×416557940569² (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 (416557940563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 349167837 + ... + 349169029.

Almost surely, 2^416557940569 is an apocalyptic number.

416557940569 is the 645413-rd square number.

416557940569 is the 322707-th centered octagonal number.

It is an amenable number.

416557940569 is a deficient number, since it is larger than the sum of its proper divisors (1121509220).

416557940569 is an frugal number, since it uses more digits than its factorization.

416557940569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 61.

The spelling of 416557940569 in words is "four hundred sixteen billion, five hundred fifty-seven million, nine hundred forty thousand, five hundred sixty-nine".