14005211644340 has 96 divisors (see below), whose sum is σ = 34399292928000. Its totient is φ = 4689422107776.

The previous prime is 14005211644337. The next prime is 14005211644349. The reversal of 14005211644340 is 4344611250041.

It is a super-2 number, since 2×14005211644340² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 14005211644340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005211644349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41266661 + ... + 41604659.

It is an arithmetic number, because the mean of its divisors is an integer number (358325968000).

Almost surely, 2^{14005211644340} is an apocalyptic number.

14005211644340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14005211644340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199646464000).

14005211644340 is an abundant number, since it is smaller than the sum of its proper divisors (20394081283660).

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

14005211644340 is a wasteful number, since it uses less digits than its factorization.

14005211644340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344941 (or 344939 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 14005211644340 its reverse (4344611250041), we get a palindrome (18349822894381).

The spelling of 14005211644340 in words is "fourteen trillion, five billion, two hundred eleven million, six hundred forty-four thousand, three hundred forty".