4004204001 has 96 divisors (see below), whose sum is σ = 6829056000. Its totient is φ = 2072770560.

The previous prime is 4004203993. The next prime is 4004204041. The reversal of 4004204001 is 1004024004.

It is not a de Polignac number, because 4004204001 - 2³ = 4004203993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4004204041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8917825 + ... + 8918273.

It is an arithmetic number, because the mean of its divisors is an integer number (71136000).

Almost surely, 2^4004204001 is an apocalyptic number.

It is an amenable number.

4004204001 is a deficient number, since it is larger than the sum of its proper divisors (2824851999).

4004204001 is a wasteful number, since it uses less digits than its factorization.

4004204001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4004204001 is about 63278.7800214258. The cubic root of 4004204001 is about 1587.9569768887.

Adding to 4004204001 its reverse (1004024004), we get a palindrome (5008228005).

The spelling of 4004204001 in words is "four billion, four million, two hundred four thousand, one".