14709340800 has 1440 divisors, whose sum is σ = 69205049760. Its totient is φ = 3010867200.

The previous prime is 14709340777. The next prime is 14709340883. The reversal of 14709340800 is 804390741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 219542367 + ... + 219542433.

Almost surely, 2^14709340800 is an apocalyptic number.

14709340800 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 14709340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34602524880).

14709340800 is an abundant number, since it is smaller than the sum of its proper divisors (54495708960).

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

14709340800 is a wasteful number, since it uses less digits than its factorization.

14709340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 14709340800 in words is "fourteen billion, seven hundred nine million, three hundred forty thousand, eight hundred".