4090372766089 has 9 divisors (see below), whose sum is σ = 4098858378951. Its totient is φ = 4081904696760.

The previous prime is 4090372766041. The next prime is 4090372766113. The reversal of 4090372766089 is 9806672730904.

The square root of 4090372766089 is 2022467.

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., 358938783225 + 3731433982864 = 599115^2 + 1931692^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4090372766089 is a prime.

It is a super-2 number, since 2×4090372766089² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4090372766009) 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, 1126512304 + ... + 1126515934.

Almost surely, 2^{4090372766089} is an apocalyptic number.

4090372766089 is the 2022467-th square number.

4090372766089 is the 1011234-th centered octagonal number.

It is an amenable number.

4090372766089 is a deficient number, since it is larger than the sum of its proper divisors (8485612862).

4090372766089 is an frugal number, since it uses more digits than its factorization.

4090372766089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 4090372766089 in words is "four trillion, ninety billion, three hundred seventy-two million, seven hundred sixty-six thousand, eighty-nine".