4004252314314 has 576 divisors, whose sum is σ = 10539506073600. Its totient is φ = 1012510316160.

The previous prime is 4004252314301. The next prime is 4004252314393. The reversal of 4004252314314 is 4134132524004.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31529545719 + ... + 31529545845.

It is an arithmetic number, because the mean of its divisors is an integer number (18297753600).

Almost surely, 2^{4004252314314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004252314314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269753036800).

4004252314314 is an abundant number, since it is smaller than the sum of its proper divisors (6535253759286).

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

4004252314314 is a wasteful number, since it uses less digits than its factorization.

4004252314314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 4004252314314 its reverse (4134132524004), we get a palindrome (8138384838318).

The spelling of 4004252314314 in words is "four trillion, four billion, two hundred fifty-two million, three hundred fourteen thousand, three hundred fourteen".