4160579904 has 252 divisors, whose sum is σ = 13400202816. Its totient is φ = 1279369728.

The previous prime is 4160579893. The next prime is 4160579909. The reversal of 4160579904 is 4099750614.

It is a self number, because there is not a number n which added to its sum of digits gives 4160579904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4160579909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2627497 + ... + 2629079.

It is an arithmetic number, because the mean of its divisors is an integer number (53175408).

Almost surely, 2^4160579904 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 4160579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700101408).

4160579904 is an abundant number, since it is smaller than the sum of its proper divisors (9239622912).

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

4160579904 is a wasteful number, since it uses less digits than its factorization.

4160579904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4160579904 is about 64502.5573446511. The cubic root of 4160579904 is about 1608.3650318528.

The spelling of 4160579904 in words is "four billion, one hundred sixty million, five hundred seventy-nine thousand, nine hundred four".