32426322400 has 144 divisors (see below), whose sum is σ = 81999751680. Its totient is φ = 12508300800.

The previous prime is 32426322353. The next prime is 32426322419. The reversal of 32426322400 is 422362423.

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, 7611471 + ... + 7615729.

It is an arithmetic number, because the mean of its divisors is an integer number (569442720).

Almost surely, 2^32426322400 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 32426322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40999875840).

32426322400 is an abundant number, since it is smaller than the sum of its proper divisors (49573429280).

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

32426322400 is a wasteful number, since it uses less digits than its factorization.

32426322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4617 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 32426322400 its reverse (422362423), we get a palindrome (32848684823).

The spelling of 32426322400 in words is "thirty-two billion, four hundred twenty-six million, three hundred twenty-two thousand, four hundred".