14111407664640 has 4480 divisors, whose sum is σ = 66002045598720. Its totient is φ = 2861528186880.

The previous prime is 14111407664597. The next prime is 14111407664687. The reversal of 14111407664640 is 4646670411141.

14111407664640 is a `hidden beast` number, since 1 + 4 + 1 + 114 + 0 + 76 + 6 + 464 + 0 = 666.

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

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 447 ways as a sum of consecutive naturals, for example, 613539463669 + ... + 613539463691.

It is an arithmetic number, because the mean of its divisors is an integer number (14732599464).

Almost surely, 2^{14111407664640} is an apocalyptic number.

14111407664640 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 14111407664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33001022799360).

14111407664640 is an abundant number, since it is smaller than the sum of its proper divisors (51890637934080).

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

14111407664640 is an equidigital number, since it uses as much as digits as its factorization.

14111407664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14111407664640 in words is "fourteen trillion, one hundred eleven billion, four hundred seven million, six hundred sixty-four thousand, six hundred forty".