4129164864 has 168 divisors, whose sum is σ = 13390217568. Its totient is φ = 1251210240.

The previous prime is 4129164859. The next prime is 4129164881. The reversal of 4129164864 is 4684619214.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159004 + ... + 183140.

It is an arithmetic number, because the mean of its divisors is an integer number (79703676).

Almost surely, 2^4129164864 is an apocalyptic number.

4129164864 is a gapful number since it is divisible by the number (44) 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 4129164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695108784).

4129164864 is an abundant number, since it is smaller than the sum of its proper divisors (9261052704).

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

4129164864 is a wasteful number, since it uses less digits than its factorization.

4129164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24175 (or 24153 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4129164864 is about 64258.5781355299. The cubic root of 4129164864 is about 1604.3067387662.

The spelling of 4129164864 in words is "four billion, one hundred twenty-nine million, one hundred sixty-four thousand, eight hundred sixty-four".