4032456584328 has 128 divisors (see below), whose sum is σ = 11351904768000. Its totient is φ = 1326102373440.

The previous prime is 4032456584251. The next prime is 4032456584329. The reversal of 4032456584328 is 8234856542304.

4032456584328 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 4 + 56 + 584 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×4032456584328² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4032456584329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21938101 + ... + 22121147.

It is an arithmetic number, because the mean of its divisors is an integer number (88686756000).

Almost surely, 2^{4032456584328} 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 4032456584328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675952384000).

4032456584328 is an abundant number, since it is smaller than the sum of its proper divisors (7319448183672).

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

4032456584328 is a wasteful number, since it uses less digits than its factorization.

4032456584328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184432 (or 184422 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 4032456584328 in words is "four trillion, thirty-two billion, four hundred fifty-six million, five hundred eighty-four thousand, three hundred twenty-eight".