4005903040 has 28 divisors (see below), whose sum is σ = 9539057376. Its totient is φ = 1602361088.

The previous prime is 4005902969. The next prime is 4005903043. The reversal of 4005903040 is 403095004.

4005903040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4005902996 and 4005903014.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6258904 + ... + 6259543.

Almost surely, 2^4005903040 is an apocalyptic number.

4005903040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005903040 is an abundant number, since it is smaller than the sum of its proper divisors (5533154336).

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

4005903040 is a wasteful number, since it uses less digits than its factorization.

4005903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12518464 (or 12518454 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 4005903040 is about 63292.2036273031. The cubic root of 4005903040 is about 1588.1815424806.

Adding to 4005903040 its reverse (403095004), we get a palindrome (4408998044).

The spelling of 4005903040 in words is "four billion, five million, nine hundred three thousand, forty".