4116909986289 has 9 divisors (see below), whose sum is σ = 5946656550393. Its totient is φ = 2744602599492.

The previous prime is 4116909986269. The next prime is 4116909986317. The reversal of 4116909986289 is 9826899096114.

The square root of 4116909986289 is 2029017.

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

4116909986289 is a `hidden beast` number, since 411 + 69 + 0 + 9 + 98 + 62 + 8 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 4116909986289 - 2¹⁵ = 4116909953521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4116909986219) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5748882 + ... + 6425220.

Almost surely, 2^{4116909986289} is an apocalyptic number.

4116909986289 is the 2029017-th square number.

4116909986289 is the 1014509-th centered octagonal number.

It is an amenable number.

4116909986289 is a deficient number, since it is larger than the sum of its proper divisors (1829746564104).

4116909986289 is an frugal number, since it uses more digits than its factorization.

4116909986289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352684 (or 676342 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 4116909986289 in words is "four trillion, one hundred sixteen billion, nine hundred nine million, nine hundred eighty-six thousand, two hundred eighty-nine".