14420086015680 has 336 divisors, whose sum is σ = 51449273235360. Its totient is φ = 3844370792448.

The previous prime is 14420086015667. The next prime is 14420086015681. The reversal of 14420086015680 is 8651068002441.

It is a happy number.

14420086015680 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 0 + 0 + 86 + 0 + 1 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14420086015681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 333491022 + ... + 333534258.

It is an arithmetic number, because the mean of its divisors is an integer number (153122837010).

Almost surely, 2^{14420086015680} is an apocalyptic number.

14420086015680 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 14420086015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25724636617680).

14420086015680 is an abundant number, since it is smaller than the sum of its proper divisors (37029187219680).

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

14420086015680 is an equidigital number, since it uses as much as digits as its factorization.

14420086015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47558 (or 47536 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 14420086015680 in words is "fourteen trillion, four hundred twenty billion, eighty-six million, fifteen thousand, six hundred eighty".