14102211420 has 144 divisors (see below), whose sum is σ = 46769329152. Its totient is φ = 3411112320.

The previous prime is 14102211377. The next prime is 14102211481. The reversal of 14102211420 is 2411220141.

14102211420 is a `hidden beast` number, since 1 + 410 + 2 + 211 + 42 + 0 = 666.

14102211420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14102211393 and 14102211402.

It is a congruent number.

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, 909049 + ... + 924431.

It is an arithmetic number, because the mean of its divisors is an integer number (324787008).

Almost surely, 2^14102211420 is an apocalyptic number.

14102211420 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 14102211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23384664576).

14102211420 is an abundant number, since it is smaller than the sum of its proper divisors (32667117732).

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

14102211420 is a wasteful number, since it uses less digits than its factorization.

14102211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872 (or 15867 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14102211420 its reverse (2411220141), we get a palindrome (16513431561).

It can be divided in two parts, 14102 and 211420, that added together give a palindrome (225522).

The spelling of 14102211420 in words is "fourteen billion, one hundred two million, two hundred eleven thousand, four hundred twenty".