14042432000 has 160 divisors (see below), whose sum is σ = 35177663664. Its totient is φ = 5591040000.

The previous prime is 14042431999. The next prime is 14042432023. The reversal of 14042432000 is 23424041.

It can be written as a sum of positive squares in 8 ways, for example, as 12503296 + 14029928704 = 3536^2 + 118448^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 20031650 + ... + 20032350.

Almost surely, 2^14042432000 is an apocalyptic number.

14042432000 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 14042432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588831832).

14042432000 is an abundant number, since it is smaller than the sum of its proper divisors (21135231664).

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

14042432000 is an frugal number, since it uses more digits than its factorization.

14042432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14042432000 its reverse (23424041), we get a palindrome (14065856041).

The spelling of 14042432000 in words is "fourteen billion, forty-two million, four hundred thirty-two thousand".