4059404160 has 512 divisors, whose sum is σ = 15898291200. Its totient is φ = 859963392.

The previous prime is 4059404099. The next prime is 4059404161. The reversal of 4059404160 is 614049504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4059404161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 24904239 + ... + 24904401.

It is an arithmetic number, because the mean of its divisors is an integer number (31051350).

Almost surely, 2^4059404160 is an apocalyptic number.

4059404160 is a gapful number since it is divisible by the number (40) 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 4059404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949145600).

4059404160 is an abundant number, since it is smaller than the sum of its proper divisors (11838887040).

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

4059404160 is a wasteful number, since it uses less digits than its factorization.

4059404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4059404160 is about 63713.4535243539. The cubic root of 4059404160 is about 1595.2206545422.

The spelling of 4059404160 in words is "four billion, fifty-nine million, four hundred four thousand, one hundred sixty".