14213411212240 has 80 divisors (see below), whose sum is σ = 33221253199248. Its totient is φ = 5655251386368.

The previous prime is 14213411212199. The next prime is 14213411212241. The reversal of 14213411212240 is 4221211431241.

14213411212240 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 1037643747904 + 13175767464336 = 1018648^2 + 3629844^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14213411212199 and 14213411212208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213411212241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146214532 + ... + 146311708.

Almost surely, 2^{14213411212240} is an apocalyptic number.

14213411212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14213411212240 is an abundant number, since it is smaller than the sum of its proper divisors (19007841987008).

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

14213411212240 is a wasteful number, since it uses less digits than its factorization.

14213411212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106856 (or 106850 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14213411212240 its reverse (4221211431241), we get a palindrome (18434622643481).

The spelling of 14213411212240 in words is "fourteen trillion, two hundred thirteen billion, four hundred eleven million, two hundred twelve thousand, two hundred forty".