4000001001 has 32 divisors (see below), whose sum is σ = 5865903360. Its totient is φ = 2416237824.

The previous prime is 4000000981. The next prime is 4000001003. The reversal of 4000001001 is 1001000004.

It is not a de Polignac number, because 4000001001 - 2¹¹ = 3999998953 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 87195 + ... + 124911.

It is an arithmetic number, because the mean of its divisors is an integer number (183309480).

Almost surely, 2^4000001001 is an apocalyptic number.

It is an amenable number.

4000001001 is a deficient number, since it is larger than the sum of its proper divisors (1865902359).

4000001001 is a wasteful number, since it uses less digits than its factorization.

4000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37825.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 4000001001 is about 63245.5611169669. The cubic root of 4000001001 is about 1587.4011843839.

Adding to 4000001001 its reverse (1001000004), we get a palindrome (5001001005).

The spelling of 4000001001 in words is "four billion, one thousand, one".