3004158420480 has 640 divisors, whose sum is σ = 11222031744000. Its totient is φ = 685309427712.

The previous prime is 3004158420467. The next prime is 3004158420491. The reversal of 3004158420480 is 840248514003.

3004158420480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2025729819 + ... + 2025731301.

It is an arithmetic number, because the mean of its divisors is an integer number (17534424600).

Almost surely, 2^{3004158420480} is an apocalyptic number.

3004158420480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004158420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611015872000).

3004158420480 is an abundant number, since it is smaller than the sum of its proper divisors (8217873323520).

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

3004158420480 is an equidigital number, since it uses as much as digits as its factorization.

3004158420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 3004158420480 in words is "three trillion, four billion, one hundred fifty-eight million, four hundred twenty thousand, four hundred eighty".