14420532517272 has 512 divisors, whose sum is σ = 48865620787200. Its totient is φ = 3851546485248.

The previous prime is 14420532517213. The next prime is 14420532517273. The reversal of 14420532517272 is 27271523502441.

14420532517272 is a `hidden beast` number, since 1 + 4 + 42 + 0 + 5 + 325 + 17 + 272 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14420532517273) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 295884618 + ... + 295933350.

It is an arithmetic number, because the mean of its divisors is an integer number (95440665600).

Almost surely, 2^{14420532517272} is an apocalyptic number.

14420532517272 is a gapful number since it is divisible by the number (12) 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 14420532517272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24432810393600).

14420532517272 is an abundant number, since it is smaller than the sum of its proper divisors (34445088269928).

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

14420532517272 is a wasteful number, since it uses less digits than its factorization.

14420532517272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48972 (or 48962 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 14420532517272 in words is "fourteen trillion, four hundred twenty billion, five hundred thirty-two million, five hundred seventeen thousand, two hundred seventy-two".