4052732800 has 96 divisors (see below), whose sum is σ = 10244690280. Its totient is φ = 1583339520.

The previous prime is 4052732777. The next prime is 4052732807. The reversal of 4052732800 is 82372504.

4052732800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052732807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122874 + ... + 152326.

Almost surely, 2^4052732800 is an apocalyptic number.

4052732800 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 4052732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122345140).

4052732800 is an abundant number, since it is smaller than the sum of its proper divisors (6191957480).

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

4052732800 is a wasteful number, since it uses less digits than its factorization.

4052732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29520 (or 29503 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 4052732800 is about 63661.0775906283. The cubic root of 4052732800 is about 1594.3462957989.

The spelling of 4052732800 in words is "four billion, fifty-two million, seven hundred thirty-two thousand, eight hundred".