32322040400 has 120 divisors (see below), whose sum is σ = 83766164664. Its totient is φ = 11914444800.

The previous prime is 32322040397. The next prime is 32322040411. The reversal of 32322040400 is 404022323.

It can be written as a sum of positive squares in 12 ways, for example, as 13671221776 + 18650818624 = 116924^2 + 136568^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3328352 + ... + 3338048.

Almost surely, 2^32322040400 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 32322040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41883082332).

32322040400 is an abundant number, since it is smaller than the sum of its proper divisors (51444124264).

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

32322040400 is a wasteful number, since it uses less digits than its factorization.

32322040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10369 (or 10358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 32322040400 its reverse (404022323), we get a palindrome (32726062723).

The spelling of 32322040400 in words is "thirty-two billion, three hundred twenty-two million, forty thousand, four hundred".