314304343434120 has 256 divisors, whose sum is σ = 1018260790525440. Its totient is φ = 77152709910528.

The previous prime is 314304343434119. The next prime is 314304343434121. The reversal of 314304343434120 is 21434343403413.

It is an interprime number because it is at equal distance from previous prime (314304343434119) and next prime (314304343434121).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (314304343434121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9360686772 + ... + 9360720348.

It is an arithmetic number, because the mean of its divisors is an integer number (3977581212990).

Almost surely, 2^{314304343434120} is an apocalyptic number.

314304343434120 is a gapful number since it is divisible by the number (30) 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 314304343434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509130395262720).

314304343434120 is an abundant number, since it is smaller than the sum of its proper divisors (703956447091320).

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

314304343434120 is a wasteful number, since it uses less digits than its factorization.

314304343434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50064 (or 50060 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 314304343434120 its reverse (21434343403413), we get a palindrome (335738686837533).

The spelling of 314304343434120 in words is "three hundred fourteen trillion, three hundred four billion, three hundred forty-three million, four hundred thirty-four thousand, one hundred twenty".