4032032042004 has 96 divisors (see below), whose sum is σ = 9995970571776. Its totient is φ = 1260575047680.

The previous prime is 4032032041993. The next prime is 4032032042029. The reversal of 4032032042004 is 4002402302304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364653244 + ... + 364664300.

It is an arithmetic number, because the mean of its divisors is an integer number (104124693456).

Almost surely, 2^{4032032042004} 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 4032032042004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997985285888).

4032032042004 is an abundant number, since it is smaller than the sum of its proper divisors (5963938529772).

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

4032032042004 is a wasteful number, since it uses less digits than its factorization.

4032032042004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17105 (or 17103 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 4032032042004 its reverse (4002402302304), we get a palindrome (8034434344308).

The spelling of 4032032042004 in words is "four trillion, thirty-two billion, thirty-two million, forty-two thousand, four", and thus it is an eban number.