434431316221 has 12 divisors (see below), whose sum is σ = 505643368188. Its totient is φ = 372160075392.

The previous prime is 434431316197. The next prime is 434431316227. The reversal of 434431316221 is 122613134434.

It can be written as a sum of positive squares in 2 ways, for example, as 297428436900 + 137002879321 = 545370^2 + 370139^2 .

It is not a de Polignac number, because 434431316221 - 2¹¹ = 434431314173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434431316227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2407566 + ... + 2581711.

It is an arithmetic number, because the mean of its divisors is an integer number (42136947349).

Almost surely, 2^434431316221 is an apocalyptic number.

It is an amenable number.

434431316221 is a deficient number, since it is larger than the sum of its proper divisors (71212051967).

434431316221 is a wasteful number, since it uses less digits than its factorization.

434431316221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991068 (or 4991061 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The spelling of 434431316221 in words is "four hundred thirty-four billion, four hundred thirty-one million, three hundred sixteen thousand, two hundred twenty-one".