14241111401440 has 288 divisors, whose sum is σ = 42702565185504. Its totient is φ = 4438063042560.

The previous prime is 14241111401431. The next prime is 14241111401459. The reversal of 14241111401440 is 4410411114241.

14241111401440 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 14241111401399 and 14241111401408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810388494 + ... + 810406066.

It is an arithmetic number, because the mean of its divisors is an integer number (148272795783).

Almost surely, 2^{14241111401440} is an apocalyptic number.

14241111401440 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 14241111401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351282592752).

14241111401440 is an abundant number, since it is smaller than the sum of its proper divisors (28461453784064).

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

14241111401440 is a wasteful number, since it uses less digits than its factorization.

14241111401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27010 (or 26995 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 14241111401440 its reverse (4410411114241), we get a palindrome (18651522515681).

The spelling of 14241111401440 in words is "fourteen trillion, two hundred forty-one billion, one hundred eleven million, four hundred one thousand, four hundred forty".