3004220441300 has 144 divisors (see below), whose sum is σ = 7243624920000. Its totient is φ = 1074407500800.

The previous prime is 3004220441269. The next prime is 3004220441317. The reversal of 3004220441300 is 31440224003.

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 47 ways as a sum of consecutive naturals, for example, 7205951 + ... + 7611449.

Almost surely, 2^{3004220441300} 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 3004220441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621812460000).

3004220441300 is an abundant number, since it is smaller than the sum of its proper divisors (4239404478700).

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

3004220441300 is a wasteful number, since it uses less digits than its factorization.

3004220441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405706 (or 405699 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 3004220441300 its reverse (31440224003), we get a palindrome (3035660665303).

The spelling of 3004220441300 in words is "three trillion, four billion, two hundred twenty million, four hundred forty-one thousand, three hundred".