4886044800 has 1152 divisors, whose sum is σ = 21801104640. Its totient is φ = 949616640.

The previous prime is 4886044799. The next prime is 4886044829. The reversal of 4886044800 is 84406884.

4886044800 = 145² + 146² + ... + 2447².

It is a Harshad number since it is a multiple of its sum of digits (42).

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 143 ways as a sum of consecutive naturals, for example, 103958377 + ... + 103958423.

It is an arithmetic number, because the mean of its divisors is an integer number (18924570).

Almost surely, 2^4886044800 is an apocalyptic number.

4886044800 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 4886044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900552320).

4886044800 is an abundant number, since it is smaller than the sum of its proper divisors (16915059840).

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

4886044800 is a wasteful number, since it uses less digits than its factorization.

4886044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 4886044800 is about 69900.2489265954. The cubic root of 4886044800 is about 1696.8852771135.

The spelling of 4886044800 in words is "four billion, eight hundred eighty-six million, forty-four thousand, eight hundred".