4004413324314 has 32 divisors (see below), whose sum is σ = 8625133407744. Its totient is φ = 1232092438080.

The previous prime is 4004413324313. The next prime is 4004413324319. The reversal of 4004413324314 is 4134233144004.

It is not an unprimeable number, because it can be changed into a prime (4004413324313) 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 15 ways as a sum of consecutive naturals, for example, 2132344 + ... + 3543404.

It is an arithmetic number, because the mean of its divisors is an integer number (269535418992).

Almost surely, 2^{4004413324314} is an apocalyptic number.

4004413324314 is an abundant number, since it is smaller than the sum of its proper divisors (4620720083430).

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

4004413324314 is a wasteful number, since it uses less digits than its factorization.

4004413324314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447462.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4004413324314 its reverse (4134233144004), we get a palindrome (8138646468318).

The spelling of 4004413324314 in words is "four trillion, four billion, four hundred thirteen million, three hundred twenty-four thousand, three hundred fourteen".