4513982883200 has 384 divisors, whose sum is σ = 12908890296000. Its totient is φ = 1527679549440.

The previous prime is 4513982883161. The next prime is 4513982883209. The reversal of 4513982883200 is 23882893154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4513982883209) 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 47 ways as a sum of consecutive naturals, for example, 1461307256 + ... + 1461310344.

Almost surely, 2^{4513982883200} is an apocalyptic number.

4513982883200 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 4513982883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454445148000).

4513982883200 is an abundant number, since it is smaller than the sum of its proper divisors (8394907412800).

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

4513982883200 is a wasteful number, since it uses less digits than its factorization.

4513982883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 4513982883200 in words is "four trillion, five hundred thirteen billion, nine hundred eighty-two million, eight hundred eighty-three thousand, two hundred".