314011568640 has 960 divisors, whose sum is σ = 1315540942848. Its totient is φ = 63118540800.

The previous prime is 314011568639. The next prime is 314011568653. The reversal of 314011568640 is 46865110413.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128323897 + ... + 128326343.

Almost surely, 2^314011568640 is an apocalyptic number.

314011568640 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 314011568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657770471424).

314011568640 is an abundant number, since it is smaller than the sum of its proper divisors (1001529374208).

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

314011568640 is a wasteful number, since it uses less digits than its factorization.

314011568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 314011568640 in words is "three hundred fourteen billion, eleven million, five hundred sixty-eight thousand, six hundred forty".