4004123203301 has 16 divisors (see below), whose sum is σ = 4499729853696. Its totient is φ = 3535324231296.

The previous prime is 4004123203277. The next prime is 4004123203319. The reversal of 4004123203301 is 1033023214004.

4004123203301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-4004123203301 is a prime.

It is a super-2 number, since 2×4004123203301² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004123203331) 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, 13630496 + ... + 13921158.

It is an arithmetic number, because the mean of its divisors is an integer number (281233115856).

Almost surely, 2^{4004123203301} is an apocalyptic number.

It is an amenable number.

4004123203301 is a deficient number, since it is larger than the sum of its proper divisors (495606650395).

4004123203301 is a wasteful number, since it uses less digits than its factorization.

4004123203301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336772.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 4004123203301 its reverse (1033023214004), we get a palindrome (5037146417305).

The spelling of 4004123203301 in words is "four trillion, four billion, one hundred twenty-three million, two hundred three thousand, three hundred one".