14228101271040 has 640 divisors, whose sum is σ = 47874820815360. Its totient is φ = 3599897591808.

The previous prime is 14228101270991. The next prime is 14228101271051. The reversal of 14228101271040 is 4017210182241.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 14228101270992 and 14228101271010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3641692767 + ... + 3641696673.

It is an arithmetic number, because the mean of its divisors is an integer number (74804407524).

Almost surely, 2^{14228101271040} is an apocalyptic number.

14228101271040 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 14228101271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23937410407680).

14228101271040 is an abundant number, since it is smaller than the sum of its proper divisors (33646719544320).

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

14228101271040 is a wasteful number, since it uses less digits than its factorization.

14228101271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 14228101271040 in words is "fourteen trillion, two hundred twenty-eight billion, one hundred one million, two hundred seventy-one thousand, forty".