432414022241 has 8 divisors (see below), whose sum is σ = 432810505224. Its totient is φ = 432017674240.

The previous prime is 432414022223. The next prime is 432414022283. The reversal of 432414022241 is 142220414234.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18284448400 + 414129573841 = 135220^2 + 643529^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 432414022241 - 2⁶ = 432414022177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (432414022741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7044161 + ... + 7105281.

It is an arithmetic number, because the mean of its divisors is an integer number (54101313153).

Almost surely, 2^432414022241 is an apocalyptic number.

It is an amenable number.

432414022241 is a deficient number, since it is larger than the sum of its proper divisors (396482983).

432414022241 is a wasteful number, since it uses less digits than its factorization.

432414022241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67491.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 432414022241 its reverse (142220414234), we get a palindrome (574634436475).

The spelling of 432414022241 in words is "four hundred thirty-two billion, four hundred fourteen million, twenty-two thousand, two hundred forty-one".