14141131440 has 80 divisors (see below), whose sum is σ = 43877176800. Its totient is φ = 3767556096.

The previous prime is 14141131429. The next prime is 14141131441. The reversal of 14141131440 is 4413114141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14141131440.

It is not an unprimeable number, because it can be changed into a prime (14141131441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244866 + ... + 297054.

It is an arithmetic number, because the mean of its divisors is an integer number (548464710).

Almost surely, 2^14141131440 is an apocalyptic number.

14141131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14141131440 is an abundant number, since it is smaller than the sum of its proper divisors (29736045360).

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

14141131440 is a wasteful number, since it uses less digits than its factorization.

14141131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53334 (or 53328 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14141131440 its reverse (4413114141), we get a palindrome (18554245581).

The spelling of 14141131440 in words is "fourteen billion, one hundred forty-one million, one hundred thirty-one thousand, four hundred forty".