2032414404221 has 16 divisors (see below), whose sum is σ = 2102493313200. Its totient is φ = 1963147207680.

The previous prime is 2032414404199. The next prime is 2032414404233. The reversal of 2032414404221 is 1224044142302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3895008100 + 2028519396121 = 62410^2 + 1424261^2 .

It is not a de Polignac number, because 2032414404221 - 2³⁰ = 2031340662397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032414401221) 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, 10160645 + ... + 10358741.

It is an arithmetic number, because the mean of its divisors is an integer number (131405832075).

Almost surely, 2^{2032414404221} is an apocalyptic number.

It is an amenable number.

2032414404221 is a deficient number, since it is larger than the sum of its proper divisors (70078908979).

2032414404221 is a wasteful number, since it uses less digits than its factorization.

2032414404221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200144.

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

Adding to 2032414404221 its reverse (1224044142302), we get a palindrome (3256458546523).

The spelling of 2032414404221 in words is "two trillion, thirty-two billion, four hundred fourteen million, four hundred four thousand, two hundred twenty-one".