1323226486400 has 384 divisors, whose sum is σ = 4040889283200. Its totient is φ = 416929628160.

The previous prime is 1323226486391. The next prime is 1323226486403. The reversal of 1323226486400 is 46846223231.

It is not an unprimeable number, because it can be changed into a prime (1323226486403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66674879 + ... + 66694721.

It is an arithmetic number, because the mean of its divisors is an integer number (10523149175).

Almost surely, 2^{1323226486400} is an apocalyptic number.

1323226486400 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 1323226486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020444641600).

1323226486400 is an abundant number, since it is smaller than the sum of its proper divisors (2717662796800).

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

1323226486400 is a wasteful number, since it uses less digits than its factorization.

1323226486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20116 (or 20099 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 1323226486400 in words is "one trillion, three hundred twenty-three billion, two hundred twenty-six million, four hundred eighty-six thousand, four hundred".