314434421044324 has 144 divisors (see below), whose sum is σ = 670396070937600. Its totient is φ = 126383310475776.

The previous prime is 314434421044291. The next prime is 314434421044333. The reversal of 314434421044324 is 423440124434413.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4433676537 + ... + 4433747455.

It is an arithmetic number, because the mean of its divisors is an integer number (4655528270400).

Almost surely, 2^{314434421044324} is an apocalyptic number.

314434421044324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314434421044324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335198035468800).

314434421044324 is an abundant number, since it is smaller than the sum of its proper divisors (355961649893276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314434421044324 is a wasteful number, since it uses less digits than its factorization.

314434421044324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72890 (or 72871 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 43.

Adding to 314434421044324 its reverse (423440124434413), we get a palindrome (737874545478737).

The spelling of 314434421044324 in words is "three hundred fourteen trillion, four hundred thirty-four billion, four hundred twenty-one million, forty-four thousand, three hundred twenty-four".