4032104431221 has 24 divisors (see below), whose sum is σ = 5928431616536. Its totient is φ = 2640245621760.

The previous prime is 4032104431211. The next prime is 4032104431231. The reversal of 4032104431221 is 1221344012304.

4032104431221 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 1 + 0 + 4 + 431 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (4032104431211) and next prime (4032104431231).

It can be written as a sum of positive squares in 4 ways, for example, as 1671305984100 + 2360798447121 = 1292790^2 + 1536489^2 .

It is not a de Polignac number, because 4032104431221 - 2³⁵ = 3997744692853 is a prime.

It is a super-2 number, since 2×4032104431221² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032104431211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12574330 + ... + 12891003.

Almost surely, 2^{4032104431221} is an apocalyptic number.

It is an amenable number.

4032104431221 is a deficient number, since it is larger than the sum of its proper divisors (1896327185315).

4032104431221 is a wasteful number, since it uses less digits than its factorization.

4032104431221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25465653 (or 25465650 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4032104431221 its reverse (1221344012304), we get a palindrome (5253448443525).

The spelling of 4032104431221 in words is "four trillion, thirty-two billion, one hundred four million, four hundred thirty-one thousand, two hundred twenty-one".