14078377057320 has 192 divisors, whose sum is σ = 46351950138000. Its totient is φ = 3705382416384.

The previous prime is 14078377057271. The next prime is 14078377057321. The reversal of 14078377057320 is 2375077387041.

14078377057320 is a `hidden beast` number, since 1 + 40 + 7 + 8 + 3 + 7 + 7 + 0 + 573 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2777202252036 + 11301174805284 = 1666494^2 + 3361722^2 .

It is not an unprimeable number, because it can be changed into a prime (14078377057321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17451846 + ... + 18240714.

Almost surely, 2^{14078377057320} is an apocalyptic number.

14078377057320 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 14078377057320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23175975069000).

14078377057320 is an abundant number, since it is smaller than the sum of its proper divisors (32273573080680).

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

14078377057320 is a wasteful number, since it uses less digits than its factorization.

14078377057320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789532 (or 789525 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 14078377057320 in words is "fourteen trillion, seventy-eight billion, three hundred seventy-seven million, fifty-seven thousand, three hundred twenty".