4059828864 has 480 divisors, whose sum is σ = 14997011040. Its totient is φ = 1067489280.

The previous prime is 4059828863. The next prime is 4059828869. The reversal of 4059828864 is 4688289504.

4059828864 is a `hidden beast` number, since 40 + 598 + 2 + 8 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4059828864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4059828863) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12265179 + ... + 12265509.

It is an arithmetic number, because the mean of its divisors is an integer number (31243773).

Almost surely, 2^4059828864 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 4059828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498505520).

4059828864 is an abundant number, since it is smaller than the sum of its proper divisors (10937182176).

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

4059828864 is a wasteful number, since it uses less digits than its factorization.

4059828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 4059828864 is about 63716.7863596400. The cubic root of 4059828864 is about 1595.2762844606.

The spelling of 4059828864 in words is "four billion, fifty-nine million, eight hundred twenty-eight thousand, eight hundred sixty-four".