416810980881 has 27 divisors (see below), whose sum is σ = 639609397531. Its totient is φ = 261507799104.

The previous prime is 416810980867. The next prime is 416810980897. The reversal of 416810980881 is 188089018614.

It is a happy number.

The square root of 416810980881 is 645609.

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., 324506819025 + 92304161856 = 569655^2 + 303816^2 .

It is not a de Polignac number, because 416810980881 - 2⁵ = 416810980849 is a prime.

It is a super-2 number, since 2×416810980881² (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 (416810980801) 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, 32919730 + ... + 32932388.

Almost surely, 2^416810980881 is an apocalyptic number.

416810980881 is the 645609-th square number.

416810980881 is the 322805-th centered octagonal number.

It is an amenable number.

416810980881 is a deficient number, since it is larger than the sum of its proper divisors (222798416650).

416810980881 is an frugal number, since it uses more digits than its factorization.

416810980881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25358 (or 12679 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 416810980881 in words is "four hundred sixteen billion, eight hundred ten million, nine hundred eighty thousand, eight hundred eighty-one".