314430441032340 has 144 divisors (see below), whose sum is σ = 1010081360001168. Its totient is φ = 78899874066432.

The previous prime is 314430441032339. The next prime is 314430441032377. The reversal of 314430441032340 is 43230144034413.

314430441032340 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 3 + 0 + 4 + 410 + 3 + 234 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18594706616964 + 295835734415376 = 4312158^2 + 17199876^2 .

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 = 314430441032295 and 314430441032304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4679914 + ... + 25510046.

It is an arithmetic number, because the mean of its divisors is an integer number (7014453888897).

Almost surely, 2^{314430441032340} is an apocalyptic number.

314430441032340 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 314430441032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505040680000584).

314430441032340 is an abundant number, since it is smaller than the sum of its proper divisors (695650918968828).

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

314430441032340 is a wasteful number, since it uses less digits than its factorization.

314430441032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20835098 (or 20835093 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 314430441032340 its reverse (43230144034413), we get a palindrome (357660585066753).

The spelling of 314430441032340 in words is "three hundred fourteen trillion, four hundred thirty billion, four hundred forty-one million, thirty-two thousand, three hundred forty".