14014500401034 has 144 divisors (see below), whose sum is σ = 35888520747456. Its totient is φ = 3940447392000.

The previous prime is 14014500401029. The next prime is 14014500401053. The reversal of 14014500401034 is 43010400541041.

14014500401034 is a `hidden beast` number, since 1 + 4 + 0 + 14 + 500 + 40 + 103 + 4 = 666.

14014500401034 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 = 14014500400989 and 14014500401007.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13758754 + ... + 14742194.

It is an arithmetic number, because the mean of its divisors is an integer number (249225838524).

Almost surely, 2^{14014500401034} is an apocalyptic number.

14014500401034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14014500401034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17944260373728).

14014500401034 is an abundant number, since it is smaller than the sum of its proper divisors (21874020346422).

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

14014500401034 is a wasteful number, since it uses less digits than its factorization.

14014500401034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983721 (or 983711 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14014500401034 its reverse (43010400541041), we get a palindrome (57024900942075).

The spelling of 14014500401034 in words is "fourteen trillion, fourteen billion, five hundred million, four hundred one thousand, thirty-four".