4160314368 has 132 divisors (see below), whose sum is σ = 13729147120. Its totient is φ = 1188642816.

The previous prime is 4160314343. The next prime is 4160314399. The reversal of 4160314368 is 8634130614.

It is a happy number.

4160314368 is a `hidden beast` number, since 4 + 1 + 603 + 1 + 43 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32268 + ... + 96756.

Almost surely, 2^4160314368 is an apocalyptic number.

4160314368 is a gapful number since it is divisible by the number (48) 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 4160314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864573560).

4160314368 is an abundant number, since it is smaller than the sum of its proper divisors (9568832752).

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

4160314368 is a wasteful number, since it uses less digits than its factorization.

4160314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64522 (or 64501 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4160314368 is about 64500.4989748141. The cubic root of 4160314368 is about 1608.3308148355.

The spelling of 4160314368 in words is "four billion, one hundred sixty million, three hundred fourteen thousand, three hundred sixty-eight".