14013144131040 has 144 divisors (see below), whose sum is σ = 47821750468128. Its totient is φ = 3736690265088.

The previous prime is 14013144131039. The next prime is 14013144131053. The reversal of 14013144131040 is 4013144131041.

14013144131040 is a `hidden beast` number, since 1 + 40 + 131 + 441 + 3 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 14013144130995 and 14013144131013.

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 23 ways as a sum of consecutive naturals, for example, 38883514 + ... + 39242246.

It is an arithmetic number, because the mean of its divisors is an integer number (332095489362).

Almost surely, 2^{14013144131040} is an apocalyptic number.

14013144131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013144131040 is an abundant number, since it is smaller than the sum of its proper divisors (33808606337088).

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

14013144131040 is a wasteful number, since it uses less digits than its factorization.

14013144131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385881 (or 385870 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14013144131040 its reverse (4013144131041), we get a palindrome (18026288262081).

Subtracting from 14013144131040 its reverse (4013144131041), we obtain a palindrome (9999999999999).

The spelling of 14013144131040 in words is "fourteen trillion, thirteen billion, one hundred forty-four million, one hundred thirty-one thousand, forty".