4359882240 has 320 divisors, whose sum is σ = 17701009920. Its totient is φ = 996433920.

The previous prime is 4359882229. The next prime is 4359882259. The reversal of 4359882240 is 422889534.

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479335 + ... + 488345.

It is an arithmetic number, because the mean of its divisors is an integer number (55315656).

Almost surely, 2^4359882240 is an apocalyptic number.

4359882240 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 4359882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8850504960).

4359882240 is an abundant number, since it is smaller than the sum of its proper divisors (13341127680).

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

4359882240 is an equidigital number, since it uses as much as digits as its factorization.

4359882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9050 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4359882240 is about 66029.4043589672. The cubic root of 4359882240 is about 1633.6471259759.

The spelling of 4359882240 in words is "four billion, three hundred fifty-nine million, eight hundred eighty-two thousand, two hundred forty".