14007340800 has 432 divisors, whose sum is σ = 51928065280. Its totient is φ = 3694325760.

The previous prime is 14007340777. The next prime is 14007340801. The reversal of 14007340800 is 804370041.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14007340801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17798007 + ... + 17798793.

Almost surely, 2^14007340800 is an apocalyptic number.

14007340800 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 14007340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25964032640).

14007340800 is an abundant number, since it is smaller than the sum of its proper divisors (37920724480).

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

14007340800 is a wasteful number, since it uses less digits than its factorization.

14007340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14007340800 in words is "fourteen billion, seven million, three hundred forty thousand, eight hundred".