4119164928 has 336 divisors, whose sum is σ = 12890404800. Its totient is φ = 1313832960.

The previous prime is 4119164867. The next prime is 4119164947. The reversal of 4119164928 is 8294619114.

It is a happy number.

4119164928 is a `hidden beast` number, since 411 + 91 + 64 + 92 + 8 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 46282708 + ... + 46282796.

It is an arithmetic number, because the mean of its divisors is an integer number (38364300).

Almost surely, 2^4119164928 is an apocalyptic number.

4119164928 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 4119164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445202400).

4119164928 is an abundant number, since it is smaller than the sum of its proper divisors (8771239872).

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

4119164928 is an frugal number, since it uses more digits than its factorization.

4119164928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 4119164928 is about 64180.7208435680. The cubic root of 4119164928 is about 1603.0105982998.

The spelling of 4119164928 in words is "four billion, one hundred nineteen million, one hundred sixty-four thousand, nine hundred twenty-eight".