4032081144 has 192 divisors, whose sum is σ = 13504458240. Its totient is φ = 1058330880.

The previous prime is 4032081121. The next prime is 4032081161. The reversal of 4032081144 is 4411802304.

4032081144 is a `hidden beast` number, since 403 + 208 + 11 + 44 = 666.

4032081144 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1485949 + ... + 1488659.

It is an arithmetic number, because the mean of its divisors is an integer number (70335720).

Almost surely, 2^4032081144 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 4032081144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752229120).

4032081144 is an abundant number, since it is smaller than the sum of its proper divisors (9472377096).

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

4032081144 is a wasteful number, since it uses less digits than its factorization.

4032081144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4032081144 is about 63498.6704112771. The cubic root of 4032081144 is about 1591.6335602238.

Adding to 4032081144 its reverse (4411802304), we get a palindrome (8443883448).

The spelling of 4032081144 in words is "four billion, thirty-two million, eighty-one thousand, one hundred forty-four".