14452022400 has 768 divisors, whose sum is σ = 53637638400. Its totient is φ = 3406233600.

The previous prime is 14452022399. The next prime is 14452022413. The reversal of 14452022400 is 422025441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236918370 + ... + 236918430.

It is an arithmetic number, because the mean of its divisors is an integer number (69840675).

Almost surely, 2^14452022400 is an apocalyptic number.

14452022400 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 14452022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26818819200).

14452022400 is an abundant number, since it is smaller than the sum of its proper divisors (39185616000).

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

14452022400 is a wasteful number, since it uses less digits than its factorization.

14452022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 14452022400 its reverse (422025441), we get a palindrome (14874047841).

The spelling of 14452022400 in words is "fourteen billion, four hundred fifty-two million, twenty-two thousand, four hundred".