14005311320 has 384 divisors, whose sum is σ = 43560840960. Its totient is φ = 3983293440.

The previous prime is 14005311311. The next prime is 14005311323. The reversal of 14005311320 is 2311350041.

It is a super-2 number, since 2×14005311320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14005311292 and 14005311301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005311323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29989727 + ... + 29990193.

It is an arithmetic number, because the mean of its divisors is an integer number (113439690).

Almost surely, 2^14005311320 is an apocalyptic number.

14005311320 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 14005311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21780420480).

14005311320 is an abundant number, since it is smaller than the sum of its proper divisors (29555529640).

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

14005311320 is a wasteful number, since it uses less digits than its factorization.

14005311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 14005311320 its reverse (2311350041), we get a palindrome (16316661361).

The spelling of 14005311320 in words is "fourteen billion, five million, three hundred eleven thousand, three hundred twenty".