3004023144401 has 2 divisors, whose sum is σ = 3004023144402. Its totient is φ = 3004023144400.

The previous prime is 3004023144323. The next prime is 3004023144433. The reversal of 3004023144401 is 1044413204003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2618729826001 + 385293318400 = 1618249^2 + 620720^2 .

It is a cyclic number.

It is not a de Polignac number, because 3004023144401 - 2³⁸ = 2729145237457 is a prime.

It is not a weakly prime, because it can be changed into another prime (3004023144701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502011572200 + 1502011572201.

It is an arithmetic number, because the mean of its divisors is an integer number (1502011572201).

Almost surely, 2^{3004023144401} is an apocalyptic number.

It is an amenable number.

3004023144401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3004023144401 is an equidigital number, since it uses as much as digits as its factorization.

3004023144401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 3004023144401 its reverse (1044413204003), we get a palindrome (4048436348404).

The spelling of 3004023144401 in words is "three trillion, four billion, twenty-three million, one hundred forty-four thousand, four hundred one".