14222843965440 has 3744 divisors, whose sum is σ = 63267462236160. Its totient is φ = 3032167219200.

The previous prime is 14222843965439. The next prime is 14222843965481. The reversal of 14222843965440 is 4456934822241.

14222843965440 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 2 + 8 + 4 + 3 + 96 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 458801418225 + ... + 458801418255.

It is an arithmetic number, because the mean of its divisors is an integer number (16898360640).

Almost surely, 2^{14222843965440} is an apocalyptic number.

14222843965440 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 14222843965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31633731118080).

14222843965440 is an abundant number, since it is smaller than the sum of its proper divisors (49044618270720).

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

14222843965440 is a wasteful number, since it uses less digits than its factorization.

14222843965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 14222843965440 in words is "fourteen trillion, two hundred twenty-two billion, eight hundred forty-three million, nine hundred sixty-five thousand, four hundred forty".