3004144032414 has 192 divisors, whose sum is σ = 7114730515200. Its totient is φ = 843092490240.

The previous prime is 3004144032391. The next prime is 3004144032443. The reversal of 3004144032414 is 4142304414003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2025720117 + ... + 2025721599.

It is an arithmetic number, because the mean of its divisors is an integer number (37055888100).

Almost surely, 2^{3004144032414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004144032414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557365257600).

3004144032414 is an abundant number, since it is smaller than the sum of its proper divisors (4110586482786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3004144032414 is a wasteful number, since it uses less digits than its factorization.

3004144032414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3004144032414 its reverse (4142304414003), we get a palindrome (7146448446417).

The spelling of 3004144032414 in words is "three trillion, four billion, one hundred forty-four million, thirty-two thousand, four hundred fourteen".