16142032000 has 128 divisors (see below), whose sum is σ = 40238265600. Its totient is φ = 6439910400.

The previous prime is 16142031959. The next prime is 16142032009. The reversal of 16142032000 is 23024161.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (16142032009) 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, 7406911 + ... + 7409089.

It is an arithmetic number, because the mean of its divisors is an integer number (314361450).

Almost surely, 2^16142032000 is an apocalyptic number.

16142032000 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 16142032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20119132800).

16142032000 is an abundant number, since it is smaller than the sum of its proper divisors (24096233600).

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

16142032000 is an equidigital number, since it uses as much as digits as its factorization.

16142032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 16142032000 its reverse (23024161), we get a palindrome (16165056161).

The spelling of 16142032000 in words is "sixteen billion, one hundred forty-two million, thirty-two thousand".