4004001001 has 32 divisors (see below), whose sum is σ = 5507179776. Its totient is φ = 2809728000.

The previous prime is 4004000999. The next prime is 4004001047. The reversal of 4004001001 is 1001004004.

It is a cyclic number.

It is not a de Polignac number, because 4004001001 - 2¹ = 4004000999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4004001061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7740 + ... + 89821.

It is an arithmetic number, because the mean of its divisors is an integer number (172099368).

Almost surely, 2^4004001001 is an apocalyptic number.

4004001001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4004001001 is a deficient number, since it is larger than the sum of its proper divisors (1503178775).

4004001001 is a wasteful number, since it uses less digits than its factorization.

4004001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97633.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4004001001 is about 63277.1759878710. The cubic root of 4004001001 is about 1587.9301416997.

Adding to 4004001001 its reverse (1001004004), we get a palindrome (5005005005).

It can be divided in two parts, 400400 and 1001, that multiplied together give a square (400800400 = 20020²).

The spelling of 4004001001 in words is "four billion, four million, one thousand, one".