1323433520640 has 1440 divisors, whose sum is σ = 6033391588224. Its totient is φ = 274929500160.

The previous prime is 1323433520609. The next prime is 1323433520657. The reversal of 1323433520640 is 460253343231.

1323433520640 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 4 + 3 + 3 + 5 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1323433520595 and 1323433520604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335299147 + ... + 335303093.

Almost surely, 2^{1323433520640} is an apocalyptic number.

1323433520640 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 1323433520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016695794112).

1323433520640 is an abundant number, since it is smaller than the sum of its proper divisors (4709958067584).

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

1323433520640 is an equidigital number, since it uses as much as digits as its factorization.

1323433520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 1323433520640 its reverse (460253343231), we get a palindrome (1783686863871).

The spelling of 1323433520640 in words is "one trillion, three hundred twenty-three billion, four hundred thirty-three million, five hundred twenty thousand, six hundred forty".