432040000221 has 24 divisors (see below), whose sum is σ = 639437198400. Its totient is φ = 280931956800.

The previous prime is 432040000219. The next prime is 432040000229. The reversal of 432040000221 is 122000040234.

432040000221 is a `hidden beast` number, since 43 + 2 + 0 + 400 + 0 + 0 + 221 = 666.

It is not a de Polignac number, because 432040000221 - 2¹ = 432040000219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 432040000194 and 432040000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432040000229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366480 + ... + 1652678.

It is an arithmetic number, because the mean of its divisors is an integer number (26643216600).

Almost surely, 2^432040000221 is an apocalyptic number.

432040000221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

432040000221 is a deficient number, since it is larger than the sum of its proper divisors (207397198179).

432040000221 is a wasteful number, since it uses less digits than its factorization.

432040000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290337 (or 290334 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 432040000221 its reverse (122000040234), we get a palindrome (554040040455).

The spelling of 432040000221 in words is "four hundred thirty-two billion, forty million, two hundred twenty-one", and thus it is an aban number.