4089040 has 40 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 1612416.

The previous prime is 4089037. The next prime is 4089073. The reversal of 4089040 is 409804.

4089040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4088996 and 4089014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5997 + ... + 6643.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^4089040 is an apocalyptic number.

4089040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4089040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

4089040 is an abundant number, since it is smaller than the sum of its proper divisors (5553200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4089040 is a wasteful number, since it uses less digits than its factorization.

4089040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4089040 is about 2022.1374829620. The cubic root of 4089040 is about 159.9093236209.

The spelling of 4089040 in words is "four million, eighty-nine thousand, forty".