314440343140140 has 120 divisors (see below), whose sum is σ = 1127326859891232. Its totient is φ = 71872078429440.

The previous prime is 314440343140139. The next prime is 314440343140141. The reversal of 314440343140140 is 41041343044413.

314440343140140 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 40 + 3 + 431 + 40 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (314440343140139) and next prime (314440343140141).

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 = 314440343140095 and 314440343140104.

It is not an unprimeable number, because it can be changed into a prime (314440343140141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13864201321 + ... + 13864224000.

Almost surely, 2^{314440343140140} is an apocalyptic number.

314440343140140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314440343140140 is an abundant number, since it is smaller than the sum of its proper divisors (812886516751092).

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

314440343140140 is a wasteful number, since it uses less digits than its factorization.

314440343140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27728425349 (or 27728425338 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 314440343140140 its reverse (41041343044413), we get a palindrome (355481686184553).

The spelling of 314440343140140 in words is "three hundred fourteen trillion, four hundred forty billion, three hundred forty-three million, one hundred forty thousand, one hundred forty".