4993228800 has 840 divisors, whose sum is σ = 21631326816. Its totient is φ = 1114767360.

The previous prime is 4993228759. The next prime is 4993228811. The reversal of 4993228800 is 88223994.

It is a tau number, because it is divible by the number of its divisors (840).

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 (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 116121579 + ... + 116121621.

Almost surely, 2^4993228800 is an apocalyptic number.

4993228800 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 4993228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10815663408).

4993228800 is an abundant number, since it is smaller than the sum of its proper divisors (16638098016).

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

4993228800 is an equidigital number, since it uses as much as digits as its factorization.

4993228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4993228800 is about 70662.7822831793. The cubic root of 4993228800 is about 1709.2036920237.

The spelling of 4993228800 in words is "four billion, nine hundred ninety-three million, two hundred twenty-eight thousand, eight hundred".