14224004340 has 384 divisors, whose sum is σ = 50185433088. Its totient is φ = 2930688000.

The previous prime is 14224004299. The next prime is 14224004351. The reversal of 14224004340 is 4340042241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14224004340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56669215 + ... + 56669465.

It is an arithmetic number, because the mean of its divisors is an integer number (130691232).

Almost surely, 2^14224004340 is an apocalyptic number.

14224004340 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 14224004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25092716544).

14224004340 is an abundant number, since it is smaller than the sum of its proper divisors (35961428748).

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

14224004340 is a wasteful number, since it uses less digits than its factorization.

14224004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14224004340 its reverse (4340042241), we get a palindrome (18564046581).

The spelling of 14224004340 in words is "fourteen billion, two hundred twenty-four million, four thousand, three hundred forty".