4132200022314 has 96 divisors (see below), whose sum is σ = 10241422798464. Its totient is φ = 1088322842880.

The previous prime is 4132200022297. The next prime is 4132200022387.

It is a happy number.

4132200022314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4805724 + ... + 5599944.

It is an arithmetic number, because the mean of its divisors is an integer number (106681487484).

Almost surely, 2^{4132200022314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132200022314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120711399232).

4132200022314 is an abundant number, since it is smaller than the sum of its proper divisors (6109222776150).

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

4132200022314 is a wasteful number, since it uses less digits than its factorization.

4132200022314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794992 (or 794979 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 41322000 and 22314, that added together give a palindrome (41344314).

The spelling of 4132200022314 in words is "four trillion, one hundred thirty-two billion, two hundred million, twenty-two thousand, three hundred fourteen".