32140352000 has 160 divisors (see below), whose sum is σ = 82912349520. Its totient is φ = 12412108800.

The previous prime is 32140351993. The next prime is 32140352051. The reversal of 32140352000 is 25304123.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4552470784 + 27587881216 = 67472^2 + 166096^2 .

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1847342 + ... + 1864658.

Almost surely, 2^32140352000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32140352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456174760).

32140352000 is an abundant number, since it is smaller than the sum of its proper divisors (50771997520).

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

32140352000 is an equidigital number, since it uses as much as digits as its factorization.

32140352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17379 (or 17353 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 32140352000 its reverse (25304123), we get a palindrome (32165656123).

The spelling of 32140352000 in words is "thirty-two billion, one hundred forty million, three hundred fifty-two thousand".