314333440000 has 240 divisors, whose sum is σ = 803795952960. Its totient is φ = 122787840000.

The previous prime is 314333439991. The next prime is 314333440033. The reversal of 314333440000 is 44333413.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55037145 + ... + 55042855.

It is an arithmetic number, because the mean of its divisors is an integer number (3349149804).

Almost surely, 2^314333440000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314333440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401897976480).

314333440000 is an abundant number, since it is smaller than the sum of its proper divisors (489462512960).

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

314333440000 is an frugal number, since it uses more digits than its factorization.

314333440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 314333440000 its reverse (44333413), we get a palindrome (314377773413).

The spelling of 314333440000 in words is "three hundred fourteen billion, three hundred thirty-three million, four hundred forty thousand".