14128678917600 has 432 divisors, whose sum is σ = 50398680028032. Its totient is φ = 3435918919680.

The previous prime is 14128678917599. The next prime is 14128678917751. The reversal of 14128678917600 is 671987682141.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33454957 + ... + 33874643.

It is an arithmetic number, because the mean of its divisors is an integer number (116663611176).

Almost surely, 2^{14128678917600} is an apocalyptic number.

14128678917600 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 14128678917600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25199340014016).

14128678917600 is an abundant number, since it is smaller than the sum of its proper divisors (36270001110432).

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

14128678917600 is a wasteful number, since it uses less digits than its factorization.

14128678917600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419819 (or 419793 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The spelling of 14128678917600 in words is "fourteen trillion, one hundred twenty-eight billion, six hundred seventy-eight million, nine hundred seventeen thousand, six hundred".