4117384320 has 256 divisors, whose sum is σ = 15183866880. Its totient is φ = 929525760.

The previous prime is 4117384291. The next prime is 4117384321. The reversal of 4117384320 is 234837114.

It is not an unprimeable number, because it can be changed into a prime (4117384321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1113675 + ... + 1117365.

It is an arithmetic number, because the mean of its divisors is an integer number (59311980).

Almost surely, 2^4117384320 is an apocalyptic number.

4117384320 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 4117384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591933440).

4117384320 is an abundant number, since it is smaller than the sum of its proper divisors (11066482560).

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

4117384320 is a wasteful number, since it uses less digits than its factorization.

4117384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4117384320 is about 64166.8475148967. The cubic root of 4117384320 is about 1602.7795850622.

The spelling of 4117384320 in words is "four billion, one hundred seventeen million, three hundred eighty-four thousand, three hundred twenty".