4518442057200 has 480 divisors, whose sum is σ = 15400382645760. Its totient is φ = 1130269593600.

The previous prime is 4518442057193. The next prime is 4518442057343. The reversal of 4518442057200 is 27502448154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1044241437 + ... + 1044245763.

It is an arithmetic number, because the mean of its divisors is an integer number (32084130512).

Almost surely, 2^{4518442057200} is an apocalyptic number.

4518442057200 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 4518442057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700191322880).

4518442057200 is an abundant number, since it is smaller than the sum of its proper divisors (10881940588560).

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

4518442057200 is a wasteful number, since it uses less digits than its factorization.

4518442057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 42.

The spelling of 4518442057200 in words is "four trillion, five hundred eighteen billion, four hundred forty-two million, fifty-seven thousand, two hundred".