14068271395400 has 192 divisors, whose sum is σ = 36517127486400. Its totient is φ = 5009063362560.

The previous prime is 14068271395357. The next prime is 14068271395421. The reversal of 14068271395400 is 459317286041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 47 ways as a sum of consecutive naturals, for example, 38124179 + ... + 38491421.

It is an arithmetic number, because the mean of its divisors is an integer number (190193372325).

It is a 2-persistent number, because it is pandigital, and so is 2⋅14068271395400 = 28136542790800, but 3⋅14068271395400 = 42204814186200 is not.

Almost surely, 2^{14068271395400} is an apocalyptic number.

14068271395400 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 14068271395400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258563743200).

14068271395400 is an abundant number, since it is smaller than the sum of its proper divisors (22448856091000).

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

14068271395400 is a wasteful number, since it uses less digits than its factorization.

14068271395400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367888 (or 367879 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 14068271395400 in words is "fourteen trillion, sixty-eight billion, two hundred seventy-one million, three hundred ninety-five thousand, four hundred".