4032064000 has 120 divisors (see below), whose sum is σ = 10094419764. Its totient is φ = 1606400000.

The previous prime is 4032063991. The next prime is 4032064009. The reversal of 4032064000 is 4602304.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (4032063991) and next prime (4032064009).

It can be written as a sum of positive squares in 2 ways, for example, as 2725675264 + 1306388736 = 52208^2 + 36144^2 .

It is not an unprimeable number, because it can be changed into a prime (4032064009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16063875 + ... + 16064125.

Almost surely, 2^4032064000 is an apocalyptic number.

4032064000 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 4032064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047209882).

4032064000 is an abundant number, since it is smaller than the sum of its proper divisors (6062355764).

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

4032064000 is an frugal number, since it uses more digits than its factorization.

4032064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4032064000 is about 63498.5354161811. The cubic root of 4032064000 is about 1591.6313043991.

Adding to 4032064000 its reverse (4602304), we get a palindrome (4036666304).

The spelling of 4032064000 in words is "four billion, thirty-two million, sixty-four thousand", and thus it is an eban number.