32303313420400 has 360 divisors, whose sum is σ = 88108760678400. Its totient is φ = 11361083712000.

The previous prime is 32303313420383. The next prime is 32303313420401. The reversal of 32303313420400 is 402431330323.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32303313420401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3059310321 + ... + 3059320879.

It is an arithmetic number, because the mean of its divisors is an integer number (244746557440).

Almost surely, 2^{32303313420400} 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 32303313420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44054380339200).

32303313420400 is an abundant number, since it is smaller than the sum of its proper divisors (55805447258000).

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

32303313420400 is a wasteful number, since it uses less digits than its factorization.

32303313420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12669 (or 12647 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 32303313420400 its reverse (402431330323), we get a palindrome (32705744750723).

The spelling of 32303313420400 in words is "thirty-two trillion, three hundred three billion, three hundred thirteen million, four hundred twenty thousand, four hundred".