14420032000 has 160 divisors (see below), whose sum is σ = 39228007104. Its totient is φ = 5243392000.

The previous prime is 14420031991. The next prime is 14420032001. The reversal of 14420032000 is 23002441.

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 (16).

It is not an unprimeable number, because it can be changed into a prime (14420032001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693759 + ... + 714241.

Almost surely, 2^14420032000 is an apocalyptic number.

14420032000 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 14420032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19614003552).

14420032000 is an abundant number, since it is smaller than the sum of its proper divisors (24807975104).

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

14420032000 is an equidigital number, since it uses as much as digits as its factorization.

14420032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20527 (or 20501 counting only the distinct ones).

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

Adding to 14420032000 its reverse (23002441), we get a palindrome (14443034441).

The spelling of 14420032000 in words is "fourteen billion, four hundred twenty million, thirty-two thousand".