32800140000 has 720 divisors, whose sum is σ = 128306466288. Its totient is φ = 8211456000.

The previous prime is 32800139987. The next prime is 32800140001. The reversal of 32800140000 is 4100823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32800140001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82619802 + ... + 82620198.

Almost surely, 2^32800140000 is an apocalyptic number.

32800140000 is a gapful number since it is divisible by the number (30) 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 32800140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64153233144).

32800140000 is an abundant number, since it is smaller than the sum of its proper divisors (95506326288).

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

32800140000 is an equidigital number, since it uses as much as digits as its factorization.

32800140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 32800140000 its reverse (4100823), we get a palindrome (32804240823).

The spelling of 32800140000 in words is "thirty-two billion, eight hundred million, one hundred forty thousand".