3004413430000 has 200 divisors, whose sum is σ = 7434644152320. Its totient is φ = 1175263200000.

The previous prime is 3004413429977. The next prime is 3004413430021. The reversal of 3004413430000 is 343144003.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 1104968641 + ... + 1104971359.

Almost surely, 2^{3004413430000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004413430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717322076160).

3004413430000 is an abundant number, since it is smaller than the sum of its proper divisors (4430230722320).

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

3004413430000 is a wasteful number, since it uses less digits than its factorization.

3004413430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 3004413430000 its reverse (343144003), we get a palindrome (3004756574003).

The spelling of 3004413430000 in words is "three trillion, four billion, four hundred thirteen million, four hundred thirty thousand".