4513330344000 has 448 divisors, whose sum is σ = 15015530649600. Its totient is φ = 1194496768000.

The previous prime is 4513330343971. The next prime is 4513330344007. The reversal of 4513330344000 is 4430333154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4513330344007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4377623485 + ... + 4377624515.

Almost surely, 2^{4513330344000} is an apocalyptic number.

4513330344000 is a gapful number since it is divisible by the number (40) 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 4513330344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507765324800).

4513330344000 is an abundant number, since it is smaller than the sum of its proper divisors (10502200305600).

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

4513330344000 is a wasteful number, since it uses less digits than its factorization.

4513330344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 4513330344000 its reverse (4430333154), we get a palindrome (4517760677154).

The spelling of 4513330344000 in words is "four trillion, five hundred thirteen billion, three hundred thirty million, three hundred forty-four thousand".