1323134816640 has 1536 divisors, whose sum is σ = 5628435724800. Its totient is φ = 261301469184.

The previous prime is 1323134816611. The next prime is 1323134816681. The reversal of 1323134816640 is 466184313231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1323134816592 and 1323134816601.

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, 2254062427 + ... + 2254063013.

It is an arithmetic number, because the mean of its divisors is an integer number (3664346175).

Almost surely, 2^{1323134816640} is an apocalyptic number.

1323134816640 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 1323134816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814217862400).

1323134816640 is an abundant number, since it is smaller than the sum of its proper divisors (4305300908160).

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

1323134816640 is a wasteful number, since it uses less digits than its factorization.

1323134816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 1323134816640 in words is "one trillion, three hundred twenty-three billion, one hundred thirty-four million, eight hundred sixteen thousand, six hundred forty".