20142032000 has 64 divisors (see below), whose sum is σ = 50078166840. Its totient is φ = 8056806400.

The previous prime is 20142031969. The next prime is 20142032003. The reversal of 20142032000 is 23024102.

It can be written as a sum of positive squares in 4 ways, for example, as 9608704576 + 10533327424 = 98024^2 + 102632^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20142032003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613439 + ... + 645438.

Almost surely, 2^20142032000 is an apocalyptic number.

20142032000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20142032000 is an abundant number, since it is smaller than the sum of its proper divisors (29936134840).

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

20142032000 is an equidigital number, since it uses as much as digits as its factorization.

20142032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258906 (or 1258884 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20142032000 its reverse (23024102), we get a palindrome (20165056102).

The spelling of 20142032000 in words is "twenty billion, one hundred forty-two million, thirty-two thousand".