4391608320 has 672 divisors, whose sum is σ = 17976738240. Its totient is φ = 1008599040.

The previous prime is 4391608307. The next prime is 4391608321. The reversal of 4391608320 is 238061934.

4391608320 is a `hidden beast` number, since 43 + 9 + 1 + 608 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4391608321) 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, 231137271 + ... + 231137289.

Almost surely, 2^4391608320 is an apocalyptic number.

4391608320 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 4391608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8988369120).

4391608320 is an abundant number, since it is smaller than the sum of its proper divisors (13585129920).

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

4391608320 is a wasteful number, since it uses less digits than its factorization.

4391608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4391608320 is about 66269.2109504859. The cubic root of 4391608320 is about 1637.6001385452.

The spelling of 4391608320 in words is "four billion, three hundred ninety-one million, six hundred eight thousand, three hundred twenty".