4800218083600 has 45 divisors (see below), whose sum is σ = 11532629221477. Its totient is φ = 1920069705920.

The previous prime is 4800218083579. The next prime is 4800218083603. The reversal of 4800218083600 is 63808120084.

The square root of 4800218083600 is 2190940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1728078510096 + 3072139573504 = 1314564^2 + 1752752^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4800218083603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43764027 + ... + 43873573.

Almost surely, 2^{4800218083600} is an apocalyptic number.

4800218083600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4800218083600 is the 2190940-th square number.

It is an amenable number.

4800218083600 is an abundant number, since it is smaller than the sum of its proper divisors (6732411137877).

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

4800218083600 is an frugal number, since it uses more digits than its factorization.

4800218083600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219112 (or 109554 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 4800218083600 in words is "four trillion, eight hundred billion, two hundred eighteen million, eighty-three thousand, six hundred".