4009581849 has 64 divisors (see below), whose sum is σ = 6896422400. Its totient is φ = 2057529600.

The previous prime is 4009581833. The next prime is 4009581857. The reversal of 4009581849 is 9481859004.

It is not a de Polignac number, because 4009581849 - 2⁴ = 4009581833 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4009581798 and 4009581807.

It is not an unprimeable number, because it can be changed into a prime (4009581859) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 490899 + ... + 498999.

It is an arithmetic number, because the mean of its divisors is an integer number (107756600).

Almost surely, 2^4009581849 is an apocalyptic number.

4009581849 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4009581849 is a deficient number, since it is larger than the sum of its proper divisors (2886840551).

4009581849 is a wasteful number, since it uses less digits than its factorization.

4009581849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8175 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 4009581849 is about 63321.2590604451. The cubic root of 4009581849 is about 1588.6675609796.

The spelling of 4009581849 in words is "four billion, nine million, five hundred eighty-one thousand, eight hundred forty-nine".