314324506440 has 192 divisors, whose sum is σ = 1174928751360. Its totient is φ = 71387896320.

The previous prime is 314324506409. The next prime is 314324506469. The reversal of 314324506440 is 44605423413.

314324506440 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 2 + 4 + 5 + 0 + 644 + 0 = 666.

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 = 314324506395 and 314324506404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1596 + ... + 792875.

It is an arithmetic number, because the mean of its divisors is an integer number (6119420580).

Almost surely, 2^314324506440 is an apocalyptic number.

314324506440 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 314324506440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587464375680).

314324506440 is an abundant number, since it is smaller than the sum of its proper divisors (860604244920).

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

314324506440 is a wasteful number, since it uses less digits than its factorization.

314324506440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794652 (or 794645 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 314324506440 its reverse (44605423413), we get a palindrome (358929929853).

The spelling of 314324506440 in words is "three hundred fourteen billion, three hundred twenty-four million, five hundred six thousand, four hundred forty".