1414314410012 has 72 divisors (see below), whose sum is σ = 2906373456000. Its totient is φ = 600428306016.

The previous prime is 1414314410011. The next prime is 1414314410023. The reversal of 1414314410012 is 2100144134141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414314410011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8774039 + ... + 8933777.

It is an arithmetic number, because the mean of its divisors is an integer number (40366298000).

Almost surely, 2^{1414314410012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414314410012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453186728000).

1414314410012 is an abundant number, since it is smaller than the sum of its proper divisors (1492059045988).

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

1414314410012 is a wasteful number, since it uses less digits than its factorization.

1414314410012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160183 (or 160174 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1414314410012 its reverse (2100144134141), we get a palindrome (3514458544153).

The spelling of 1414314410012 in words is "one trillion, four hundred fourteen billion, three hundred fourteen million, four hundred ten thousand, twelve".