4132002002314 has 48 divisors (see below), whose sum is σ = 6511022289720. Its totient is φ = 1966366483200.

The previous prime is 4132002002311. The next prime is 4132002002437.

4132002002314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 2065063843089 + 2066938159225 = 1437033^2 + 1437685^2 .

It is a super-2 number, since 2×4132002002314² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4132002002311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38849872 + ... + 38956084.

Almost surely, 2^{4132002002314} is an apocalyptic number.

4132002002314 is a deficient number, since it is larger than the sum of its proper divisors (2379020287406).

4132002002314 is a wasteful number, since it uses less digits than its factorization.

4132002002314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106603 (or 106574 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 4132002002314 in words is "four trillion, one hundred thirty-two billion, two million, two thousand, three hundred fourteen".