4933201480200 has 576 divisors, whose sum is σ = 19020607781760. Its totient is φ = 1122451292160.

The previous prime is 4933201480169. The next prime is 4933201480253. The reversal of 4933201480200 is 20841023394.

4933201480200 is a `hidden beast` number, since 4 + 93 + 320 + 1 + 48 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3395182674 + ... + 3395184126.

It is an arithmetic number, because the mean of its divisors is an integer number (33021888510).

Almost surely, 2^{4933201480200} is an apocalyptic number.

4933201480200 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 4933201480200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510303890880).

4933201480200 is an abundant number, since it is smaller than the sum of its proper divisors (14087406301560).

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

4933201480200 is a wasteful number, since it uses less digits than its factorization.

4933201480200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4933201480200 in words is "four trillion, nine hundred thirty-three billion, two hundred one million, four hundred eighty thousand, two hundred".