4240014004314 has 96 divisors (see below), whose sum is σ = 10588247055360. Its totient is φ = 1212736989600.

The previous prime is 4240014004283. The next prime is 4240014004337. The reversal of 4240014004314 is 4134004100424.

4240014004314 is a `hidden beast` number, since 4 + 240 + 0 + 1 + 400 + 4 + 3 + 14 = 666.

4240014004314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4240014004314³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1059952 + ... + 3098955.

It is an arithmetic number, because the mean of its divisors is an integer number (110294240160).

Almost surely, 2^{4240014004314} is an apocalyptic number.

4240014004314 is an abundant number, since it is smaller than the sum of its proper divisors (6348233051046).

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

4240014004314 is a wasteful number, since it uses less digits than its factorization.

4240014004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159216 (or 4159213 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4240014004314 its reverse (4134004100424), we get a palindrome (8374018104738).

The spelling of 4240014004314 in words is "four trillion, two hundred forty billion, fourteen million, four thousand, three hundred fourteen".