4320735120 has 180 divisors, whose sum is σ = 15712961940. Its totient is φ = 1063535616.

The previous prime is 4320735101. The next prime is 4320735121. The reversal of 4320735120 is 215370234.

It can be written as a sum of positive squares in 6 ways, for example, as 1759970304 + 2560764816 = 41952^2 + 50604^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (4320735121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103926 + ... + 139434.

It is an arithmetic number, because the mean of its divisors is an integer number (87294233).

Almost surely, 2^4320735120 is an apocalyptic number.

4320735120 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 4320735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856480970).

4320735120 is an abundant number, since it is smaller than the sum of its proper divisors (11392226820).

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

4320735120 is a wasteful number, since it uses less digits than its factorization.

4320735120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35554 (or 35532 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4320735120 is about 65732.2989100488. The cubic root of 4320735120 is about 1628.7429453970.

The spelling of 4320735120 in words is "four billion, three hundred twenty million, seven hundred thirty-five thousand, one hundred twenty".