314406930240 has 1344 divisors, whose sum is σ = 1272431247360. Its totient is φ = 73365626880.

The previous prime is 314406930217. The next prime is 314406930247. The reversal of 314406930240 is 42039604413.

It is a happy number.

314406930240 is a `hidden beast` number, since 3 + 1 + 4 + 406 + 9 + 3 + 0 + 240 = 666.

It is a super-3 number, since 3×314406930240³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314406930195 and 314406930204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314406930247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2475645057 + ... + 2475645183.

It is an arithmetic number, because the mean of its divisors is an integer number (946749440).

Almost surely, 2^314406930240 is an apocalyptic number.

314406930240 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 314406930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636215623680).

314406930240 is an abundant number, since it is smaller than the sum of its proper divisors (958024317120).

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

314406930240 is a wasteful number, since it uses less digits than its factorization.

314406930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 314406930240 in words is "three hundred fourteen billion, four hundred six million, nine hundred thirty thousand, two hundred forty".