14224033220240 has 80 divisors (see below), whose sum is σ = 33091429446000. Its totient is φ = 5686078734336.

The previous prime is 14224033220237. The next prime is 14224033220297. The reversal of 14224033220240 is 4202233042241.

14224033220240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 255485767936 + 13968547452304 = 505456^2 + 3737452^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14224033220240² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1090041236 + ... + 1090054284.

It is an arithmetic number, because the mean of its divisors is an integer number (413642868075).

Almost surely, 2^{14224033220240} is an apocalyptic number.

14224033220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224033220240 is an abundant number, since it is smaller than the sum of its proper divisors (18867396225760).

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

14224033220240 is a wasteful number, since it uses less digits than its factorization.

14224033220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20484 (or 20478 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 14224033220240 its reverse (4202233042241), we get a palindrome (18426266262481).

The spelling of 14224033220240 in words is "fourteen trillion, two hundred twenty-four billion, thirty-three million, two hundred twenty thousand, two hundred forty".