4004111201 has 8 divisors (see below), whose sum is σ = 4266654120. Its totient is φ = 3744569088.

The previous prime is 4004111197. The next prime is 4004111207. The reversal of 4004111201 is 1021114004.

4004111201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1339486801 + 2664624400 = 36599^2 + 51620^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4004111201 - 2² = 4004111197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004111207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747446 + ... + 752783.

It is an arithmetic number, because the mean of its divisors is an integer number (533331765).

Almost surely, 2^4004111201 is an apocalyptic number.

It is an amenable number.

4004111201 is a deficient number, since it is larger than the sum of its proper divisors (262542919).

4004111201 is a wasteful number, since it uses less digits than its factorization.

4004111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500403.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 4004111201 is about 63278.0467539889. The cubic root of 4004111201 is about 1587.9447094863.

Adding to 4004111201 its reverse (1021114004), we get a palindrome (5025225205).

The spelling of 4004111201 in words is "four billion, four million, one hundred eleven thousand, two hundred one".