434120320444221 has 40 divisors (see below), whose sum is σ = 662341706446464. Its totient is φ = 283237381627200.

The previous prime is 434120320444211. The next prime is 434120320444253. The reversal of 434120320444221 is 122444023021434.

434120320444221 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 2 + 0 + 3 + 204 + 442 + 2 + 1 = 666.

It is not a de Polignac number, because 434120320444221 - 2⁹ = 434120320443709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434120320444201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54929506 + ... + 62333708.

Almost surely, 2^{434120320444221} is an apocalyptic number.

It is an amenable number.

434120320444221 is a deficient number, since it is larger than the sum of its proper divisors (228221386002243).

434120320444221 is a wasteful number, since it uses less digits than its factorization.

434120320444221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419663 (or 7419654 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 434120320444221 its reverse (122444023021434), we get a palindrome (556564343465655).

The spelling of 434120320444221 in words is "four hundred thirty-four trillion, one hundred twenty billion, three hundred twenty million, four hundred forty-four thousand, two hundred twenty-one".