314014040404344 has 384 divisors, whose sum is σ = 1034529375859200. Its totient is φ = 83997932912640.

The previous prime is 314014040404297. The next prime is 314014040404409. The reversal of 314014040404344 is 443404040410413.

314014040404344 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 140 + 40 + 40 + 434 + 4 = 666.

It is a super-2 number, since 2×314014040404344² (a number of 30 digits) contains 22 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 = 314014040404299 and 314014040404308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1627163779 + ... + 1627356749.

It is an arithmetic number, because the mean of its divisors is an integer number (2694086916300).

Almost surely, 2^{314014040404344} is an apocalyptic number.

314014040404344 is a gapful number since it is divisible by the number (34) 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 314014040404344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517264687929600).

314014040404344 is an abundant number, since it is smaller than the sum of its proper divisors (720515335454856).

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

314014040404344 is a wasteful number, since it uses less digits than its factorization.

314014040404344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194003 (or 193996 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 314014040404344 its reverse (443404040410413), we get a palindrome (757418080814757).

The spelling of 314014040404344 in words is "three hundred fourteen trillion, fourteen billion, forty million, four hundred four thousand, three hundred forty-four".