4383290880 has 720 divisors, whose sum is σ = 17511272064. Its totient is φ = 1008599040.

The previous prime is 4383290843. The next prime is 4383290881. The reversal of 4383290880 is 880923834.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4383290881) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 141396465 + ... + 141396495.

Almost surely, 2^4383290880 is an apocalyptic number.

4383290880 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 4383290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755636032).

4383290880 is an abundant number, since it is smaller than the sum of its proper divisors (13127981184).

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

4383290880 is a wasteful number, since it uses less digits than its factorization.

4383290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4383290880 is about 66206.4262741918. The cubic root of 4383290880 is about 1636.5656467105.

The spelling of 4383290880 in words is "four billion, three hundred eighty-three million, two hundred ninety thousand, eight hundred eighty".