4005903041 has 16 divisors (see below), whose sum is σ = 4610860800. Its totient is φ = 3409179840.

The previous prime is 4005902969. The next prime is 4005903043. The reversal of 4005903041 is 1403095004.

4005903041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4005903041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4005903041.

It is not an unprimeable number, because it can be changed into a prime (4005903043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918935 + ... + 923283.

It is an arithmetic number, because the mean of its divisors is an integer number (288178800).

Almost surely, 2^4005903041 is an apocalyptic number.

It is an amenable number.

4005903041 is a deficient number, since it is larger than the sum of its proper divisors (604957759).

4005903041 is a wasteful number, since it uses less digits than its factorization.

4005903041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 4005903041 is about 63292.2036352030. The cubic root of 4005903041 is about 1588.1815426128.

Adding to 4005903041 its reverse (1403095004), we get a palindrome (5408998045).

The spelling of 4005903041 in words is "four billion, five million, nine hundred three thousand, forty-one".