14340045600 has 360 divisors, whose sum is σ = 53717725908. Its totient is φ = 3720038400.

The previous prime is 14340045593. The next prime is 14340045631. The reversal of 14340045600 is 654004341.

14340045600 is a `hidden beast` number, since 14 + 3 + 4 + 0 + 0 + 45 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4055651856 + 10284393744 = 63684^2 + 101412^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 2394610 + ... + 2400590.

Almost surely, 2^14340045600 is an apocalyptic number.

14340045600 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 14340045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26858862954).

14340045600 is an abundant number, since it is smaller than the sum of its proper divisors (39377680308).

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

14340045600 is a wasteful number, since it uses less digits than its factorization.

14340045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14340045600 its reverse (654004341), we get a palindrome (14994049941).

The spelling of 14340045600 in words is "fourteen billion, three hundred forty million, forty-five thousand, six hundred".