434123203221 has 48 divisors (see below), whose sum is σ = 679809049920. Its totient is φ = 265893788160.

The previous prime is 434123203219. The next prime is 434123203271. The reversal of 434123203221 is 122302321434.

434123203221 is a `hidden beast` number, since 4 + 3 + 4 + 12 + 320 + 322 + 1 = 666.

It is not a de Polignac number, because 434123203221 - 2¹ = 434123203219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434123203201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11224206 + ... + 11262816.

It is an arithmetic number, because the mean of its divisors is an integer number (14162688540).

Almost surely, 2^434123203221 is an apocalyptic number.

It is an amenable number.

434123203221 is a deficient number, since it is larger than the sum of its proper divisors (245685846699).

434123203221 is a wasteful number, since it uses less digits than its factorization.

434123203221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40386 (or 40383 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 434123203221 its reverse (122302321434), we get a palindrome (556425524655).

The spelling of 434123203221 in words is "four hundred thirty-four billion, one hundred twenty-three million, two hundred three thousand, two hundred twenty-one".