4052568000 has 448 divisors, whose sum is σ = 14911303680. Its totient is φ = 963072000.

The previous prime is 4052567999. The next prime is 4052568011. The reversal of 4052568000 is 8652504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9671791 + ... + 9672209.

It is an arithmetic number, because the mean of its divisors is an integer number (33284160).

Almost surely, 2^4052568000 is an apocalyptic number.

4052568000 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 4052568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7455651840).

4052568000 is an abundant number, since it is smaller than the sum of its proper divisors (10858735680).

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

4052568000 is a wasteful number, since it uses less digits than its factorization.

4052568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4052568000 is about 63659.7832230051. The cubic root of 4052568000 is about 1594.3246847162.

The spelling of 4052568000 in words is "four billion, fifty-two million, five hundred sixty-eight thousand".