4160064500 has 96 divisors (see below), whose sum is σ = 9441563040. Its totient is φ = 1599360000.

The previous prime is 4160064481. The next prime is 4160064521. The reversal of 4160064500 is 54600614.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2368574224 + 1791490276 = 48668^2 + 42326^2 .

It is a super-2 number, since 2×4160064500² = 34612273288320500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4160064500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4073990 + ... + 4075010.

It is an arithmetic number, because the mean of its divisors is an integer number (98349615).

Almost surely, 2^4160064500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4160064500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720781520).

4160064500 is an abundant number, since it is smaller than the sum of its proper divisors (5281498540).

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

4160064500 is a wasteful number, since it uses less digits than its factorization.

4160064500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4160064500 is about 64498.5619994741. The cubic root of 4160064500 is about 1608.2986154700.

The spelling of 4160064500 in words is "four billion, one hundred sixty million, sixty-four thousand, five hundred".