14440969335078 has 448 divisors, whose sum is σ = 38794962286080. Its totient is φ = 3972273177600.

The previous prime is 14440969335071. The next prime is 14440969335187. The reversal of 14440969335078 is 87053396904441.

14440969335078 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 0 + 96 + 9 + 33 + 507 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440969335071) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3086334343 + ... + 3086339021.

It is an arithmetic number, because the mean of its divisors is an integer number (86595897960).

Almost surely, 2^{14440969335078} is an apocalyptic number.

14440969335078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14440969335078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19397481143040).

14440969335078 is an abundant number, since it is smaller than the sum of its proper divisors (24353992951002).

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

14440969335078 is a wasteful number, since it uses less digits than its factorization.

14440969335078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 14440969335078 in words is "fourteen trillion, four hundred forty billion, nine hundred sixty-nine million, three hundred thirty-five thousand, seventy-eight".