14448224340 has 480 divisors, whose sum is σ = 52592601600. Its totient is φ = 3283649280.

The previous prime is 14448224279. The next prime is 14448224383. The reversal of 14448224340 is 4342284441.

14448224340 is a `hidden beast` number, since 144 + 4 + 82 + 2 + 434 + 0 = 666.

14448224340 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 14448224295 and 14448224304.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 47062467 + ... + 47062773.

It is an arithmetic number, because the mean of its divisors is an integer number (109567920).

Almost surely, 2^14448224340 is an apocalyptic number.

14448224340 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 14448224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26296300800).

14448224340 is an abundant number, since it is smaller than the sum of its proper divisors (38144377260).

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

14448224340 is a wasteful number, since it uses less digits than its factorization.

14448224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 14448224340 in words is "fourteen billion, four hundred forty-eight million, two hundred twenty-four thousand, three hundred forty".