4381659360 has 288 divisors, whose sum is σ = 16700916960. Its totient is φ = 1078437888.

The previous prime is 4381659349. The next prime is 4381659361. The reversal of 4381659360 is 639561834.

4381659360 is a `hidden beast` number, since 43 + 8 + 16 + 593 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (4381659361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501106 + ... + 509774.

It is an arithmetic number, because the mean of its divisors is an integer number (57989295).

Almost surely, 2^4381659360 is an apocalyptic number.

4381659360 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 4381659360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8350458480).

4381659360 is an abundant number, since it is smaller than the sum of its proper divisors (12319257600).

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

4381659360 is a wasteful number, since it uses less digits than its factorization.

4381659360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4381659360 is about 66194.1036649036. The cubic root of 4381659360 is about 1636.3625709084.

The spelling of 4381659360 in words is "four billion, three hundred eighty-one million, six hundred fifty-nine thousand, three hundred sixty".