4381983360 has 320 divisors, whose sum is σ = 15788626920. Its totient is φ = 1158119424.

The previous prime is 4381983329. The next prime is 4381983377. The reversal of 4381983360 is 633891834.

It can be written as a sum of positive squares in 4 ways, for example, as 2446687296 + 1935296064 = 49464^2 + 43992^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7101772 + ... + 7102388.

Almost surely, 2^4381983360 is an apocalyptic number.

4381983360 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 4381983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894313460).

4381983360 is an abundant number, since it is smaller than the sum of its proper divisors (11406643560).

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

4381983360 is a wasteful number, since it uses less digits than its factorization.

4381983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4381983360 is about 66196.5509675542. The cubic root of 4381983360 is about 1636.4029033001.

The spelling of 4381983360 in words is "four billion, three hundred eighty-one million, nine hundred eighty-three thousand, three hundred sixty".