314401320000 has 840 divisors, whose sum is σ = 1163995152320. Its totient is φ = 81077760000.

The previous prime is 314401319963. The next prime is 314401320059. The reversal of 314401320000 is 23104413.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 119 ways as a sum of consecutive naturals, for example, 2261879931 + ... + 2261880069.

Almost surely, 2^314401320000 is an apocalyptic number.

314401320000 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 314401320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581997576160).

314401320000 is an abundant number, since it is smaller than the sum of its proper divisors (849593832320).

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

314401320000 is a wasteful number, since it uses less digits than its factorization.

314401320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 314401320000 its reverse (23104413), we get a palindrome (314424424413).

The spelling of 314401320000 in words is "three hundred fourteen billion, four hundred one million, three hundred twenty thousand".