4059040 has 48 divisors (see below), whose sum is σ = 10015488. Its totient is φ = 1551616.

The previous prime is 4059037. The next prime is 4059049. The reversal of 4059040 is 409504.

4059040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4059049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3129 + ... + 4231.

It is an arithmetic number, because the mean of its divisors is an integer number (208656).

Almost surely, 2^4059040 is an apocalyptic number.

4059040 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 4059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007744).

4059040 is an abundant number, since it is smaller than the sum of its proper divisors (5956448).

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

4059040 is a wasteful number, since it uses less digits than its factorization.

4059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 4059040 is about 2014.7059338772. The cubic root of 4059040 is about 159.5172951899.

The spelling of 4059040 in words is "four million, fifty-nine thousand, forty".