1323093320640 has 2016 divisors, whose sum is σ = 6155971960320. Its totient is φ = 264116256768.

The previous prime is 1323093320617. The next prime is 1323093320683. The reversal of 1323093320640 is 460233903231.

1323093320640 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 9 + 3 + 3 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 = 1323093320595 and 1323093320604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1747811142 + ... + 1747811898.

It is an arithmetic number, because the mean of its divisors is an integer number (3053557520).

Almost surely, 2^{1323093320640} is an apocalyptic number.

1323093320640 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 1323093320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077985980160).

1323093320640 is an abundant number, since it is smaller than the sum of its proper divisors (4832878639680).

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

1323093320640 is a wasteful number, since it uses less digits than its factorization.

1323093320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 1323093320640 in words is "one trillion, three hundred twenty-three billion, ninety-three million, three hundred twenty thousand, six hundred forty".