14232422400 has 864 divisors, whose sum is σ = 57423824640. Its totient is φ = 3096576000.

The previous prime is 14232422387. The next prime is 14232422411. The reversal of 14232422400 is 422423241.

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 71 ways as a sum of consecutive naturals, for example, 233318370 + ... + 233318430.

It is an arithmetic number, because the mean of its divisors is an integer number (66462760).

Almost surely, 2^14232422400 is an apocalyptic number.

14232422400 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 14232422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28711912320).

14232422400 is an abundant number, since it is smaller than the sum of its proper divisors (43191402240).

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

14232422400 is a wasteful number, since it uses less digits than its factorization.

14232422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14232422400 its reverse (422423241), we get a palindrome (14654845641).

The spelling of 14232422400 in words is "fourteen billion, two hundred thirty-two million, four hundred twenty-two thousand, four hundred".