4032004005 has 48 divisors (see below), whose sum is σ = 7164533376. Its totient is φ = 2096519040.

The previous prime is 4032003979. The next prime is 4032004021. The reversal of 4032004005 is 5004002304.

It is a happy number.

It is not a de Polignac number, because 4032004005 - 2¹⁰ = 4032002981 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261960 + ... + 1265150.

It is an arithmetic number, because the mean of its divisors is an integer number (149261112).

Almost surely, 2^4032004005 is an apocalyptic number.

4032004005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4032004005 is a deficient number, since it is larger than the sum of its proper divisors (3132529371).

4032004005 is a wasteful number, since it uses less digits than its factorization.

4032004005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4032004005 is about 63498.0630019531. The cubic root of 4032004005 is about 1591.6234101466.

Adding to 4032004005 its reverse (5004002304), we get a palindrome (9036006309).

The spelling of 4032004005 in words is "four billion, thirty-two million, four thousand, five".