4032064000000 has 273 divisors, whose sum is σ = 10119115063513. Its totient is φ = 1606400000000.

The previous prime is 4032063999989. The next prime is 4032064000067. The reversal of 4032064000000 is 4602304.

The square root of 4032064000000 is 2008000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 3532475142144 + 499588857856 = 1879488^2 + 706816^2 .

It is a Duffinian number.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 16063999875 + ... + 16064000125.

Almost surely, 2^{4032064000000} is an apocalyptic number.

4032064000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4032064000000 is the 2008000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032064000000

4032064000000 is an abundant number, since it is smaller than the sum of its proper divisors (6087051063513).

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

4032064000000 is an frugal number, since it uses more digits than its factorization.

4032064000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 258 counting only the distinct ones).

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

Adding to 4032064000000 its reverse (4602304), we get a palindrome (4032068602304).

The spelling of 4032064000000 in words is "four trillion, thirty-two billion, sixty-four million", and thus it is an aban number and an eban number.