4005040 has 40 divisors (see below), whose sum is σ = 10030608. Its totient is φ = 1478400.

The previous prime is 4005019. The next prime is 4005049. The reversal of 4005040 is 405004.

4005040 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 Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 4005040.

It is not an unprimeable number, because it can be changed into a prime (4005049) by changing a digit.

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, 886 + ... + 2965.

Almost surely, 2^4005040 is an apocalyptic number.

4005040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005040 is an abundant number, since it is smaller than the sum of its proper divisors (6025568).

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

4005040 is a wasteful number, since it uses less digits than its factorization.

4005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4005040 is about 2001.2596033499. The cubic root of 4005040 is about 158.8067480588.

The spelling of 4005040 in words is "four million, five thousand, forty".