14400232000 has 448 divisors, whose sum is σ = 45106693632. Its totient is φ = 4423680000.

The previous prime is 14400231991. The next prime is 14400232037. The reversal of 14400232000 is 23200441.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 59751880 + ... + 59752120.

It is an arithmetic number, because the mean of its divisors is an integer number (100684584).

Almost surely, 2^14400232000 is an apocalyptic number.

14400232000 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 14400232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22553346816).

14400232000 is an abundant number, since it is smaller than the sum of its proper divisors (30706461632).

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

14400232000 is a wasteful number, since it uses less digits than its factorization.

14400232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 14400232000 its reverse (23200441), we get a palindrome (14423432441).

The spelling of 14400232000 in words is "fourteen billion, four hundred million, two hundred thirty-two thousand".