323411320321040 has 480 divisors, whose sum is σ = 901787902880256. Its totient is φ = 107486426234880.

The previous prime is 323411320321021. The next prime is 323411320321079. The reversal of 323411320321040 is 40123023114323.

It is a super-2 number, since 2×323411320321040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323411320320994 and 323411320321012.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16055757209 + ... + 16055777351.

Almost surely, 2^{323411320321040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323411320321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450893951440128).

323411320321040 is an abundant number, since it is smaller than the sum of its proper divisors (578376582559216).

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

323411320321040 is a wasteful number, since it uses less digits than its factorization.

323411320321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20847 (or 20834 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 323411320321040 its reverse (40123023114323), we get a palindrome (363534343435363).

The spelling of 323411320321040 in words is "three hundred twenty-three trillion, four hundred eleven billion, three hundred twenty million, three hundred twenty-one thousand, forty".