434213410221 has 48 divisors (see below), whose sum is σ = 645039158400. Its totient is φ = 281299200000.

The previous prime is 434213410217. The next prime is 434213410223. The reversal of 434213410221 is 122014312434.

434213410221 is a `hidden beast` number, since 4 + 3 + 4 + 21 + 3 + 410 + 221 = 666.

It is not a de Polignac number, because 434213410221 - 2² = 434213410217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434213410223) 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 47 ways as a sum of consecutive naturals, for example, 108524221 + ... + 108528221.

It is an arithmetic number, because the mean of its divisors is an integer number (13438315800).

Almost surely, 2^434213410221 is an apocalyptic number.

434213410221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

434213410221 is a deficient number, since it is larger than the sum of its proper divisors (210825748179).

434213410221 is a wasteful number, since it uses less digits than its factorization.

434213410221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 434213410221 its reverse (122014312434), we get a palindrome (556227722655).

The spelling of 434213410221 in words is "four hundred thirty-four billion, two hundred thirteen million, four hundred ten thousand, two hundred twenty-one".