4132236322314 has 384 divisors, whose sum is σ = 10134709865280. Its totient is φ = 1210761216000.

The previous prime is 4132236322307. The next prime is 4132236322327.

4132236322314 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 2 + 3 + 632 + 2 + 3 + 14 = 666.

4132236322314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 32 ways, for example, as 746573762025 + 3385662560289 = 864045^2 + 1840017^2 .

It is a super-2 number, since 2×4132236322314² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8963636044 + ... + 8963636504.

Almost surely, 2^{4132236322314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132236322314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067354932640).

4132236322314 is an abundant number, since it is smaller than the sum of its proper divisors (6002473542966).

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

4132236322314 is a wasteful number, since it uses less digits than its factorization.

4132236322314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 823 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 4132236322314 in words is "four trillion, one hundred thirty-two billion, two hundred thirty-six million, three hundred twenty-two thousand, three hundred fourteen".