12404324332400 has 960 divisors, whose sum is σ = 42788607353856. Its totient is φ = 3325501440000.

The previous prime is 12404324332381. The next prime is 12404324332427. The reversal of 12404324332400 is 423342340421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 687477779 + ... + 687495821.

Almost surely, 2^{12404324332400} is an apocalyptic number.

12404324332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12404324332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21394303676928).

12404324332400 is an abundant number, since it is smaller than the sum of its proper divisors (30384283021456).

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

12404324332400 is a wasteful number, since it uses less digits than its factorization.

12404324332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18210 (or 18199 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 12404324332400 its reverse (423342340421), we get a palindrome (12827666672821).

The spelling of 12404324332400 in words is "twelve trillion, four hundred four billion, three hundred twenty-four million, three hundred thirty-two thousand, four hundred".