4807843387200 has 1260 divisors, whose sum is σ = 21640244593440. Its totient is φ = 1041070786560.

The previous prime is 4807843387163. The next prime is 4807843387201. The reversal of 4807843387200 is 27833487084.

4807843387200 is a `hidden beast` number, since 48 + 0 + 78 + 433 + 87 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-3 number, since 3×4807843387200³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4807843387201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 120637677 + ... + 120677523.

Almost surely, 2^{4807843387200} is an apocalyptic number.

4807843387200 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 4807843387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10820122296720).

4807843387200 is an abundant number, since it is smaller than the sum of its proper divisors (16832401206240).

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

4807843387200 is a wasteful number, since it uses less digits than its factorization.

4807843387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39914 (or 39883 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 4807843387200 in words is "four trillion, eight hundred seven billion, eight hundred forty-three million, three hundred eighty-seven thousand, two hundred".