14400068320 has 192 divisors, whose sum is σ = 38559628800. Its totient is φ = 5033871360.

The previous prime is 14400068303. The next prime is 14400068383. The reversal of 14400068320 is 2386000441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15668821 + ... + 15669739.

It is an arithmetic number, because the mean of its divisors is an integer number (200831400).

Almost surely, 2^14400068320 is an apocalyptic number.

14400068320 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 14400068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19279814400).

14400068320 is an abundant number, since it is smaller than the sum of its proper divisors (24159560480).

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

14400068320 is a wasteful number, since it uses less digits than its factorization.

14400068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14400068320 its reverse (2386000441), we get a palindrome (16786068761).

The spelling of 14400068320 in words is "fourteen billion, four hundred million, sixty-eight thousand, three hundred twenty".