4089612353841 has 45 divisors (see below), whose sum is σ = 6891845069291. Its totient is φ = 2336751473616.

The previous prime is 4089612353833. The next prime is 4089612353861. The reversal of 4089612353841 is 1483532169804.

It is a happy number.

The square root of 4089612353841 is 2022279.

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

4089612353841 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 61 + 2 + 3 + 538 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 170020152225 + 3919592201616 = 412335^2 + 1979796^2 .

It is not a de Polignac number, because 4089612353841 - 2³ = 4089612353833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4089612353861) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 297268135 + ... + 297281891.

Almost surely, 2^{4089612353841} is an apocalyptic number.

4089612353841 is the 2022279-th square number.

4089612353841 is the 1011140-th centered octagonal number.

It is an amenable number.

4089612353841 is a deficient number, since it is larger than the sum of its proper divisors (2802232715450).

4089612353841 is an frugal number, since it uses more digits than its factorization.

4089612353841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27548 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4089612353841 in words is "four trillion, eighty-nine billion, six hundred twelve million, three hundred fifty-three thousand, eight hundred forty-one".