4004201121 has 16 divisors (see below), whose sum is σ = 5406864960. Its totient is φ = 2635545600.

The previous prime is 4004201111. The next prime is 4004201137. The reversal of 4004201121 is 1211024004.

4004201121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4004201121 - 2⁶ = 4004201057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4004201121.

It is not an unprimeable number, because it can be changed into a prime (4004201111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443985 + ... + 452913.

It is an arithmetic number, because the mean of its divisors is an integer number (337929060).

Almost surely, 2^4004201121 is an apocalyptic number.

It is an amenable number.

4004201121 is a deficient number, since it is larger than the sum of its proper divisors (1402663839).

4004201121 is a wasteful number, since it uses less digits than its factorization.

4004201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10816.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4004201121 is about 63278.7572649780. The cubic root of 4004201121 is about 1587.9565961791.

Adding to 4004201121 its reverse (1211024004), we get a palindrome (5215225125).

The spelling of 4004201121 in words is "four billion, four million, two hundred one thousand, one hundred twenty-one".