14287386709440 has 2016 divisors, whose sum is σ = 60344767881216. Its totient is φ = 3201691484160.

The previous prime is 14287386709429. The next prime is 14287386709499. The reversal of 14287386709440 is 4490768378241.

14287386709440 is a `hidden beast` number, since 1 + 42 + 8 + 7 + 3 + 86 + 70 + 9 + 440 = 666.

It is a super-2 number, since 2×14287386709440² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 6925537849 + ... + 6925539911.

It is an arithmetic number, because the mean of its divisors is an integer number (29932920576).

Almost surely, 2^{14287386709440} is an apocalyptic number.

14287386709440 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 14287386709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30172383940608).

14287386709440 is an abundant number, since it is smaller than the sum of its proper divisors (46057381171776).

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

14287386709440 is a wasteful number, since it uses less digits than its factorization.

14287386709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 14287386709440 in words is "fourteen trillion, two hundred eighty-seven billion, three hundred eighty-six million, seven hundred nine thousand, four hundred forty".