314391054120 has 256 divisors, whose sum is σ = 1108686458880. Its totient is φ = 70313702400.

The previous prime is 314391054113. The next prime is 314391054139. The reversal of 314391054120 is 21450193413.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 39240915 + ... + 39248925.

It is an arithmetic number, because the mean of its divisors is an integer number (4330806480).

Almost surely, 2^314391054120 is an apocalyptic number.

314391054120 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 314391054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554343229440).

314391054120 is an abundant number, since it is smaller than the sum of its proper divisors (794295404760).

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

314391054120 is a wasteful number, since it uses less digits than its factorization.

314391054120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 314391054120 in words is "three hundred fourteen billion, three hundred ninety-one million, fifty-four thousand, one hundred twenty".