314396967240 has 336 divisors, whose sum is σ = 1071706720500. Its totient is φ = 82966934016.

The previous prime is 314396967163. The next prime is 314396967251. The reversal of 314396967240 is 42769693413.

It is a happy number.

314396967240 is a `hidden beast` number, since 3 + 1 + 4 + 396 + 9 + 6 + 7 + 240 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 274830084 + 314122137156 = 16578^2 + 560466^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1168761826 + ... + 1168762094.

Almost surely, 2^314396967240 is an apocalyptic number.

314396967240 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 314396967240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535853360250).

314396967240 is an abundant number, since it is smaller than the sum of its proper divisors (757309753260).

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

314396967240 is an equidigital number, since it uses as much as digits as its factorization.

314396967240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 314396967240 in words is "three hundred fourteen billion, three hundred ninety-six million, nine hundred sixty-seven thousand, two hundred forty".