32000405200 has 120 divisors (see below), whose sum is σ = 77745445848. Its totient is φ = 12657008640.

The previous prime is 32000405161. The next prime is 32000405201. The reversal of 32000405200 is 250400023.

It can be written as a sum of positive squares in 12 ways, for example, as 285069456 + 31715335744 = 16884^2 + 178088^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32000405201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16055404 + ... + 16057396.

Almost surely, 2^32000405200 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 32000405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38872722924).

32000405200 is an abundant number, since it is smaller than the sum of its proper divisors (45745040648).

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

32000405200 is a wasteful number, since it uses less digits than its factorization.

32000405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

Adding to 32000405200 its reverse (250400023), we get a palindrome (32250805223).

The spelling of 32000405200 in words is "thirty-two billion, four hundred five thousand, two hundred".