14220434133440 has 224 divisors, whose sum is σ = 36687649459200. Its totient is φ = 5233350021120.

The previous prime is 14220434133439. The next prime is 14220434133463. The reversal of 14220434133440 is 4433143402241.

It is a self number, because there is not a number n which added to its sum of digits gives 14220434133440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29056847 + ... + 29542193.

Almost surely, 2^{14220434133440} is an apocalyptic number.

14220434133440 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 14220434133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343824729600).

14220434133440 is an abundant number, since it is smaller than the sum of its proper divisors (22467215325760).

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

14220434133440 is a wasteful number, since it uses less digits than its factorization.

14220434133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485523 (or 485513 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 14220434133440 its reverse (4433143402241), we get a palindrome (18653577535681).

The spelling of 14220434133440 in words is "fourteen trillion, two hundred twenty billion, four hundred thirty-four million, one hundred thirty-three thousand, four hundred forty".