412614416214 has 192 divisors, whose sum is σ = 1228249870848. Its totient is φ = 96627686400.

The previous prime is 412614416183. The next prime is 412614416219.

412614416214 is a `hidden beast` number, since 4 + 1 + 2 + 614 + 4 + 16 + 21 + 4 = 666.

412614416214 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412614416219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508494 + ... + 1041054.

It is an arithmetic number, because the mean of its divisors is an integer number (6397134744).

Almost surely, 2^412614416214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412614416214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614124935424).

412614416214 is an abundant number, since it is smaller than the sum of its proper divisors (815635454634).

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

412614416214 is a wasteful number, since it uses less digits than its factorization.

412614416214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532643 (or 532640 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

It can be divided in two parts, 412614 and 416214, that added together give a palindrome (828828).

The spelling of 412614416214 in words is "four hundred twelve billion, six hundred fourteen million, four hundred sixteen thousand, two hundred fourteen".