4090859091 has 48 divisors (see below), whose sum is σ = 6629575680. Its totient is φ = 2409264000.

The previous prime is 4090859089. The next prime is 4090859111. The reversal of 4090859091 is 1909580904.

It is not a de Polignac number, because 4090859091 - 2¹ = 4090859089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4090859041) by changing a digit.

It is a Kaprekar number, because its square (16735128102417346281) can be partitioned into two parts whose sum is 4090859091.

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 47 ways as a sum of consecutive naturals, for example, 1098130 + ... + 1101848.

It is an arithmetic number, because the mean of its divisors is an integer number (138116160).

Almost surely, 2^4090859091 is an apocalyptic number.

4090859091 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4090859091 is a deficient number, since it is larger than the sum of its proper divisors (2538716589).

4090859091 is a wasteful number, since it uses less digits than its factorization.

4090859091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 4090859091 is about 63959.8240382195. The cubic root of 4090859091 is about 1599.3303305607.

It can be divided in two parts, 40908 and 59091, that added together give a palindrome (99999).

The spelling of 4090859091 in words is "four billion, ninety million, eight hundred fifty-nine thousand, ninety-one".