14065751906640 has 960 divisors, whose sum is σ = 56896845868800. Its totient is φ = 3184444440576.

The previous prime is 14065751906627. The next prime is 14065751906747. The reversal of 14065751906640 is 4660915756041.

14065751906640 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 575 + 1 + 9 + 0 + 6 + 64 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 8488684692 + ... + 8488686348.

It is an arithmetic number, because the mean of its divisors is an integer number (59267547780).

Almost surely, 2^{14065751906640} is an apocalyptic number.

14065751906640 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 14065751906640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28448422934400).

14065751906640 is an abundant number, since it is smaller than the sum of its proper divisors (42831093962160).

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

14065751906640 is a wasteful number, since it uses less digits than its factorization.

14065751906640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 14065751906640 in words is "fourteen trillion, sixty-five billion, seven hundred fifty-one million, nine hundred six thousand, six hundred forty".