4720042800 has 480 divisors, whose sum is σ = 18632021760. Its totient is φ = 1125273600.

The previous prime is 4720042799. The next prime is 4720042861. The reversal of 4720042800 is 82400274.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 7959304 + ... + 7959896.

It is an arithmetic number, because the mean of its divisors is an integer number (38816712).

Almost surely, 2^4720042800 is an apocalyptic number.

4720042800 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 4720042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316010880).

4720042800 is an abundant number, since it is smaller than the sum of its proper divisors (13911978960).

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

4720042800 is a wasteful number, since it uses less digits than its factorization.

4720042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4720042800 is about 68702.5676376073. The cubic root of 4720042800 is about 1677.4463755223.

It can be divided in two parts, 47200 and 42800, that added together give a square (90000 = 300²).

The spelling of 4720042800 in words is "four billion, seven hundred twenty million, forty-two thousand, eight hundred".