14420018986560 has 1344 divisors, whose sum is σ = 59039256616704. Its totient is φ = 3318025420800.

The previous prime is 14420018986469. The next prime is 14420018986567. The reversal of 14420018986560 is 6568981002441.

14420018986560 is a `hidden beast` number, since 1 + 4 + 420 + 0 + 1 + 89 + 86 + 5 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14420018986497 and 14420018986506.

It is not an unprimeable number, because it can be changed into a prime (14420018986567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1297575564 + ... + 1297586676.

It is an arithmetic number, because the mean of its divisors is an integer number (43928018316).

Almost surely, 2^{14420018986560} is an apocalyptic number.

14420018986560 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 14420018986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29519628308352).

14420018986560 is an abundant number, since it is smaller than the sum of its proper divisors (44619237630144).

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

14420018986560 is a wasteful number, since it uses less digits than its factorization.

14420018986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234 (or 11212 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 14420018986560 in words is "fourteen trillion, four hundred twenty billion, eighteen million, nine hundred eighty-six thousand, five hundred sixty".