1323515531040 has 192 divisors, whose sum is σ = 4390412544000. Its totient is φ = 334216018944.

The previous prime is 1323515531011. The next prime is 1323515531053. The reversal of 1323515531040 is 401355153231.

It is a junction number, because it is equal to n+sod(n) for n = 1323515530992 and 1323515531010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21702511 + ... + 21763409.

It is an arithmetic number, because the mean of its divisors is an integer number (22866732000).

Almost surely, 2^{1323515531040} is an apocalyptic number.

1323515531040 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 1323515531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195206272000).

1323515531040 is an abundant number, since it is smaller than the sum of its proper divisors (3066897012960).

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

1323515531040 is a wasteful number, since it uses less digits than its factorization.

1323515531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63319 (or 63311 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 1323515531040 in words is "one trillion, three hundred twenty-three billion, five hundred fifteen million, five hundred thirty-one thousand, forty".