32200460424256 has 112 divisors (see below), whose sum is σ = 64918244966400. Its totient is φ = 15844527249408.

The previous prime is 32200460424173. The next prime is 32200460424269. The reversal of 32200460424256 is 65242406400223.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996672065 + ... + 1996688191.

It is an arithmetic number, because the mean of its divisors is an integer number (579627187200).

Almost surely, 2^{32200460424256} 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 32200460424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32459122483200).

32200460424256 is an abundant number, since it is smaller than the sum of its proper divisors (32717784542144).

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

32200460424256 is a wasteful number, since it uses less digits than its factorization.

32200460424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17484 (or 17474 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 32200460424256 its reverse (65242406400223), we get a palindrome (97442866824479).

The spelling of 32200460424256 in words is "thirty-two trillion, two hundred billion, four hundred sixty million, four hundred twenty-four thousand, two hundred fifty-six".