32205440000 has 110 divisors (see below), whose sum is σ = 80450133654. Its totient is φ = 12881920000.

The previous prime is 32205439993. The next prime is 32205440009. The reversal of 32205440000 is 4450223.

It can be written as a sum of positive squares in 5 ways, for example, as 9469625344 + 22735814656 = 97312^2 + 150784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (32205440009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 614840 + ... + 665160.

Almost surely, 2^32205440000 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 32205440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40225066827).

32205440000 is an abundant number, since it is smaller than the sum of its proper divisors (48244693654).

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

32205440000 is an frugal number, since it uses more digits than its factorization.

32205440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50361 (or 50328 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 32205440000 its reverse (4450223), we get a palindrome (32209890223).

The spelling of 32205440000 in words is "thirty-two billion, two hundred five million, four hundred forty thousand".