4004075905 has 8 divisors (see below), whose sum is σ = 4806297000. Its totient is φ = 3202323456.

The previous prime is 4004075899. The next prime is 4004075917. The reversal of 4004075905 is 5095704004.

4004075905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 223729 + 4003852176 = 473^2 + 63276^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4004075905 - 2³ = 4004075897 is a prime.

It is a super-3 number, since 3×4004075905³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98080 + ... + 132769.

It is an arithmetic number, because the mean of its divisors is an integer number (600787125).

Almost surely, 2^4004075905 is an apocalyptic number.

It is an amenable number.

4004075905 is a deficient number, since it is larger than the sum of its proper divisors (802221095).

4004075905 is a wasteful number, since it uses less digits than its factorization.

4004075905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234323.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 4004075905 is about 63277.7678572814. The cubic root of 4004075905 is about 1587.9400435935.

Adding to 4004075905 its reverse (5095704004), we get a palindrome (9099779909).

The spelling of 4004075905 in words is "four billion, four million, seventy-five thousand, nine hundred five".