32312321022400 has 168 divisors, whose sum is σ = 79911268208640. Its totient is φ = 12859594890240.

The previous prime is 32312321022389. The next prime is 32312321022409. The reversal of 32312321022400 is 422012321323.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32312321022409) 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, 298341057 + ... + 298449343.

Almost surely, 2^{32312321022400} 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 32312321022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39955634104320).

32312321022400 is an abundant number, since it is smaller than the sum of its proper divisors (47598947186240).

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

32312321022400 is a wasteful number, since it uses less digits than its factorization.

32312321022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109251 (or 109236 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 32312321022400 its reverse (422012321323), we get a palindrome (32734333343723).

The spelling of 32312321022400 in words is "thirty-two trillion, three hundred twelve billion, three hundred twenty-one million, twenty-two thousand, four hundred".