14007071034 has 96 divisors (see below), whose sum is σ = 33951348288. Its totient is φ = 4136832000.

The previous prime is 14007071017. The next prime is 14007071123. The reversal of 14007071034 is 43017070041.

14007071034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14007070989 and 14007071007.

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 47 ways as a sum of consecutive naturals, for example, 4604554 + ... + 4607594.

It is an arithmetic number, because the mean of its divisors is an integer number (353659878).

Almost surely, 2^14007071034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14007071034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16975674144).

14007071034 is an abundant number, since it is smaller than the sum of its proper divisors (19944277254).

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

14007071034 is a wasteful number, since it uses less digits than its factorization.

14007071034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 14007071034 in words is "fourteen billion, seven million, seventy-one thousand, thirty-four".