14410424401340 has 192 divisors, whose sum is σ = 33799353477120. Its totient is φ = 5159671545600.

The previous prime is 14410424401301. The next prime is 14410424401447. The reversal of 14410424401340 is 4310442401441.

It is a junction number, because it is equal to n+sod(n) for n = 14410424401297 and 14410424401306.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 784402355 + ... + 784420725.

It is an arithmetic number, because the mean of its divisors is an integer number (176038299360).

Almost surely, 2^{14410424401340} is an apocalyptic number.

14410424401340 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 14410424401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899676738560).

14410424401340 is an abundant number, since it is smaller than the sum of its proper divisors (19388929075780).

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

14410424401340 is a wasteful number, since it uses less digits than its factorization.

14410424401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18865 (or 18841 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 14410424401340 its reverse (4310442401441), we get a palindrome (18720866802781).

The spelling of 14410424401340 in words is "fourteen trillion, four hundred ten billion, four hundred twenty-four million, four hundred one thousand, three hundred forty".