1323000806400 has 1584 divisors, whose sum is σ = 5903937748800. Its totient is φ = 275612958720.

The previous prime is 1323000806383. The next prime is 1323000806401. The reversal of 1323000806400 is 46080003231.

It is a happy number.

1323000806400 is a `hidden beast` number, since 13 + 2 + 3 + 0 + 0 + 0 + 8 + 0 + 640 + 0 = 666.

It is a super-2 number, since 2×1323000806400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323000806401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1866009246 + ... + 1866009954.

Almost surely, 2^{1323000806400} is an apocalyptic number.

1323000806400 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 1323000806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951968874400).

1323000806400 is an abundant number, since it is smaller than the sum of its proper divisors (4580936942400).

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

1323000806400 is a wasteful number, since it uses less digits than its factorization.

1323000806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1323000806400 its reverse (46080003231), we get a palindrome (1369080809631).

The spelling of 1323000806400 in words is "one trillion, three hundred twenty-three billion, eight hundred six thousand, four hundred".