4281868800 has 720 divisors, whose sum is σ = 17414242560. Its totient is φ = 995328000.

The previous prime is 4281868757. The next prime is 4281868817. The reversal of 4281868800 is 88681824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39283146 + ... + 39283254.

It is an arithmetic number, because the mean of its divisors is an integer number (24186448).

Almost surely, 2^4281868800 is an apocalyptic number.

4281868800 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 4281868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707121280).

4281868800 is an abundant number, since it is smaller than the sum of its proper divisors (13132373760).

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

4281868800 is a wasteful number, since it uses less digits than its factorization.

4281868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 4281868800 is about 65435.9900971935. The cubic root of 4281868800 is about 1623.8445498193.

The spelling of 4281868800 in words is "four billion, two hundred eighty-one million, eight hundred sixty-eight thousand, eight hundred".