4132002314 has 64 divisors (see below), whose sum is σ = 7269091200. Its totient is φ = 1741824000.

The previous prime is 4132002313. The next prime is 4132002341.

4132002314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4132002313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4094642 + ... + 4095650.

It is an arithmetic number, because the mean of its divisors is an integer number (113579550).

Almost surely, 2^4132002314 is an apocalyptic number.

4132002314 is a deficient number, since it is larger than the sum of its proper divisors (3137088886).

4132002314 is a wasteful number, since it uses less digits than its factorization.

4132002314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4132002314 is about 64280.6527191503. The cubic root of 4132002314 is about 1604.6741333041.

It can be divided in two parts, 413200 and 2314, that added together give a palindrome (415514).

The spelling of 4132002314 in words is "four billion, one hundred thirty-two million, two thousand, three hundred fourteen".