14200224480 has 384 divisors, whose sum is σ = 53914896000. Its totient is φ = 3469934592.

The previous prime is 14200224433. The next prime is 14200224481. The reversal of 14200224480 is 8442200241.

14200224480 is a `hidden beast` number, since 14 + 200 + 2 + 2 + 448 + 0 = 666.

14200224480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200224481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8366992 + ... + 8368688.

It is an arithmetic number, because the mean of its divisors is an integer number (140403375).

Almost surely, 2^14200224480 is an apocalyptic number.

14200224480 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 14200224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26957448000).

14200224480 is an abundant number, since it is smaller than the sum of its proper divisors (39714671520).

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

14200224480 is a wasteful number, since it uses less digits than its factorization.

14200224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 14200224480 in words is "fourteen billion, two hundred million, two hundred twenty-four thousand, four hundred eighty".