4000001005 has 64 divisors (see below), whose sum is σ = 6484262400. Its totient is φ = 2301212160.

The previous prime is 4000001003. The next prime is 4000001039. The reversal of 4000001005 is 5001000004.

4000001005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4000001005 - 2¹ = 4000001003 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4000000982 and 4000001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000001003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 843481 + ... + 848209.

It is an arithmetic number, because the mean of its divisors is an integer number (101316600).

Almost surely, 2^4000001005 is an apocalyptic number.

It is an amenable number.

4000001005 is a deficient number, since it is larger than the sum of its proper divisors (2484261395).

4000001005 is a wasteful number, since it uses less digits than its factorization.

4000001005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 4000001005 is about 63245.5611485897. The cubic root of 4000001005 is about 1587.4011849130.

Adding to 4000001005 its reverse (5001000004), we get a palindrome (9001001009).

The spelling of 4000001005 in words is "four billion, one thousand, five".