412304242403214 has 96 divisors (see below), whose sum is σ = 1031228959288320. Its totient is φ = 116614867320000.

The previous prime is 412304242403213. The next prime is 412304242403237.

412304242403214 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 0 + 4 + 242 + 403 + 2 + 1 + 4 = 666.

412304242403214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412304242403213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71532789 + ... + 77081439.

It is an arithmetic number, because the mean of its divisors is an integer number (10741968325920).

Almost surely, 2^{412304242403214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412304242403214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515614479644160).

412304242403214 is an abundant number, since it is smaller than the sum of its proper divisors (618924716885106).

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

412304242403214 is a wasteful number, since it uses less digits than its factorization.

412304242403214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554606 (or 5554603 counting only the distinct ones).

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

The spelling of 412304242403214 in words is "four hundred twelve trillion, three hundred four billion, two hundred forty-two million, four hundred three thousand, two hundred fourteen".