4004542032 has 80 divisors (see below), whose sum is σ = 10989296640. Its totient is φ = 1252233216.

The previous prime is 4004542019. The next prime is 4004542033. The reversal of 4004542032 is 2302454004.

4004542032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4004541993 and 4004542011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004542033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247569 + ... + 263247.

It is an arithmetic number, because the mean of its divisors is an integer number (137366208).

Almost surely, 2^4004542032 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 4004542032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494648320).

4004542032 is an abundant number, since it is smaller than the sum of its proper divisors (6984754608).

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

4004542032 is a wasteful number, since it uses less digits than its factorization.

4004542032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16020 (or 16014 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4004542032 is about 63281.4509315329. The cubic root of 4004542032 is about 1588.0016602249.

Adding to 4004542032 its reverse (2302454004), we get a palindrome (6306996036).

The spelling of 4004542032 in words is "four billion, four million, five hundred forty-two thousand, thirty-two".