14333013134440 has 256 divisors, whose sum is σ = 43309331735040. Its totient is φ = 4122869760000.

The previous prime is 14333013134417. The next prime is 14333013134449. The reversal of 14333013134440 is 4443131033341.

It is a super-2 number, since 2×14333013134440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14333013134396 and 14333013134405.

It is not an unprimeable number, because it can be changed into a prime (14333013134449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192194760 + ... + 192269320.

It is an arithmetic number, because the mean of its divisors is an integer number (169177077090).

Almost surely, 2^{14333013134440} is an apocalyptic number.

14333013134440 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 14333013134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21654665867520).

14333013134440 is an abundant number, since it is smaller than the sum of its proper divisors (28976318600600).

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

14333013134440 is a wasteful number, since it uses less digits than its factorization.

14333013134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79404 (or 79400 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 14333013134440 its reverse (4443131033341), we get a palindrome (18776144167781).

The spelling of 14333013134440 in words is "fourteen trillion, three hundred thirty-three billion, thirteen million, one hundred thirty-four thousand, four hundred forty".