14021340311440 has 160 divisors (see below), whose sum is σ = 40649793960960. Its totient is φ = 4369630195200.

The previous prime is 14021340311401. The next prime is 14021340311443. The reversal of 14021340311440 is 4411304312041.

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 = 14021340311399 and 14021340311408.

It is not an unprimeable number, because it can be changed into a prime (14021340311443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41590755 + ... + 41926525.

It is an arithmetic number, because the mean of its divisors is an integer number (254061212256).

Almost surely, 2^{14021340311440} is an apocalyptic number.

14021340311440 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 14021340311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20324896980480).

14021340311440 is an abundant number, since it is smaller than the sum of its proper divisors (26628453649520).

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

14021340311440 is a wasteful number, since it uses less digits than its factorization.

14021340311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342581 (or 342575 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14021340311440 its reverse (4411304312041), we get a palindrome (18432644623481).

The spelling of 14021340311440 in words is "fourteen trillion, twenty-one billion, three hundred forty million, three hundred eleven thousand, four hundred forty".