14086360112400 has 675 divisors, whose sum is σ = 52431120458431. Its totient is φ = 3621788674560.

The previous prime is 14086360112359. The next prime is 14086360112401. The reversal of 14086360112400 is 421106368041.

The square root of 14086360112400 is 3753180.

It is a perfect power (a square), and thus also a powerful number.

14086360112400 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 6 + 3 + 601 + 1 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 193624640784 + 13892735471616 = 440028^2 + 3727296^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14086360112401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19591599241 + ... + 19591599959.

Almost surely, 2^{14086360112400} is an apocalyptic number.

14086360112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14086360112400 is the 3753180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14086360112400

14086360112400 is an abundant number, since it is smaller than the sum of its proper divisors (38344760346031).

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

14086360112400 is an frugal number, since it uses more digits than its factorization.

14086360112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 14086360112400 by its sum of digits (36), we get a square (507108964046400 = 22519080²).

14086360112400 divided by its sum of digits (36) gives a square (391287780900 = 625530²).

The spelling of 14086360112400 in words is "fourteen trillion, eighty-six billion, three hundred sixty million, one hundred twelve thousand, four hundred".