332304411124400 has 960 divisors, whose sum is σ = 959624552097792. Its totient is φ = 109002240000000.

The previous prime is 332304411124303. The next prime is 332304411124453. The reversal of 332304411124400 is 4421114403233.

It is a super-2 number, since 2×332304411124400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145683651260 + ... + 145683653540.

Almost surely, 2^{332304411124400} 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 332304411124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479812276048896).

332304411124400 is an abundant number, since it is smaller than the sum of its proper divisors (627320140973392).

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

332304411124400 is a wasteful number, since it uses less digits than its factorization.

332304411124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 332304411124400 its reverse (4421114403233), we get a palindrome (336725525527633).

The spelling of 332304411124400 in words is "three hundred thirty-two trillion, three hundred four billion, four hundred eleven million, one hundred twenty-four thousand, four hundred".