1414314334314 has 288 divisors, whose sum is σ = 3869734901760. Its totient is φ = 379165784832.

The previous prime is 1414314334313. The next prime is 1414314334319. The reversal of 1414314334314 is 4134334134141.

1414314334314 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 3 + 1 + 4 + 334 + 314 = 666.

It is not an unprimeable number, because it can be changed into a prime (1414314334313) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 352958899 + ... + 352962905.

It is an arithmetic number, because the mean of its divisors is an integer number (13436579520).

Almost surely, 2^{1414314334314} is an apocalyptic number.

1414314334314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414314334314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934867450880).

1414314334314 is an abundant number, since it is smaller than the sum of its proper divisors (2455420567446).

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

1414314334314 is a wasteful number, since it uses less digits than its factorization.

1414314334314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4395 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 1414314334314 its reverse (4134334134141), we get a palindrome (5548648468455).

The spelling of 1414314334314 in words is "one trillion, four hundred fourteen billion, three hundred fourteen million, three hundred thirty-four thousand, three hundred fourteen".