32400133000 has 64 divisors (see below), whose sum is σ = 75953732400. Its totient is φ = 12936563200.

The previous prime is 32400132997. The next prime is 32400133037. The reversal of 32400133000 is 33100423.

It can be written as a sum of positive squares in 8 ways, for example, as 893172996 + 31506960004 = 29886^2 + 177502^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527916 + ... + 586084.

Almost surely, 2^32400133000 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 32400133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37976866200).

32400133000 is an abundant number, since it is smaller than the sum of its proper divisors (43553599400).

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

32400133000 is a wasteful number, since it uses less digits than its factorization.

32400133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58747 (or 58733 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 32400133000 its reverse (33100423), we get a palindrome (32433233423).

The spelling of 32400133000 in words is "thirty-two billion, four hundred million, one hundred thirty-three thousand".