14430796800 has 528 divisors, whose sum is σ = 57750946560. Its totient is φ = 3102474240.

The previous prime is 14430796753. The next prime is 14430796801. The reversal of 14430796800 is 869703441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14430796801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9138411 + ... + 9139989.

Almost surely, 2^14430796800 is an apocalyptic number.

14430796800 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 14430796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28875473280).

14430796800 is an abundant number, since it is smaller than the sum of its proper divisors (43320149760).

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

14430796800 is a wasteful number, since it uses less digits than its factorization.

14430796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 14430796800 in words is "fourteen billion, four hundred thirty million, seven hundred ninety-six thousand, eight hundred".