314243433120 has 384 divisors, whose sum is σ = 1032387793920. Its totient is φ = 80278732800.

The previous prime is 314243433073. The next prime is 314243433143. The reversal of 314243433120 is 21334342413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428708274 + ... + 428709006.

It is an arithmetic number, because the mean of its divisors is an integer number (2688509880).

Almost surely, 2^314243433120 is an apocalyptic number.

314243433120 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 314243433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516193896960).

314243433120 is an abundant number, since it is smaller than the sum of its proper divisors (718144360800).

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

314243433120 is a wasteful number, since it uses less digits than its factorization.

314243433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 314243433120 its reverse (21334342413), we get a palindrome (335577775533).

The spelling of 314243433120 in words is "three hundred fourteen billion, two hundred forty-three million, four hundred thirty-three thousand, one hundred twenty".