4866188400000 has 960 divisors, whose sum is σ = 18728750502000. Its totient is φ = 1252661760000.

The previous prime is 4866188399959. The next prime is 4866188400053. The reversal of 4866188400000 is 48816684.

4866188400000 is a `hidden beast` number, since 4 + 8 + 66 + 188 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 939597411 + ... + 939602589.

Almost surely, 2^{4866188400000} is an apocalyptic number.

4866188400000 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 4866188400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9364375251000).

4866188400000 is an abundant number, since it is smaller than the sum of its proper divisors (13862562102000).

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

4866188400000 is an frugal number, since it uses more digits than its factorization.

4866188400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 4866188400000 in words is "four trillion, eight hundred sixty-six billion, one hundred eighty-eight million, four hundred thousand".