4000434002314 has 8 divisors (see below), whose sum is σ = 6000660818208. Its totient is φ = 2000213729580.

The previous prime is 4000434002287. The next prime is 4000434002317. The reversal of 4000434002314 is 4132004340004.

4000434002314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-4 number, since 4×4000434002314⁴ (a number of 52 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (4000434002317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 398829 + ... + 2856559.

It is an arithmetic number, because the mean of its divisors is an integer number (750082602276).

Almost surely, 2^{4000434002314} is an apocalyptic number.

4000434002314 is a deficient number, since it is larger than the sum of its proper divisors (2000226815894).

4000434002314 is a wasteful number, since it uses less digits than its factorization.

4000434002314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271580.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4000434002314 its reverse (4132004340004), we get a palindrome (8132438342318).

The spelling of 4000434002314 in words is "four trillion, four hundred thirty-four million, two thousand, three hundred fourteen".