323321000040 has 192 divisors, whose sum is σ = 1059442675200. Its totient is φ = 85510540800.

The previous prime is 323321000027. The next prime is 323321000077. The reversal of 323321000040 is 40000123323.

323321000040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 323320999977 and 323321000022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59094505 + ... + 59099975.

It is an arithmetic number, because the mean of its divisors is an integer number (5517930600).

Almost surely, 2^323321000040 is an apocalyptic number.

323321000040 is a gapful number since it is divisible by the number (30) 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 323321000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529721337600).

323321000040 is an abundant number, since it is smaller than the sum of its proper divisors (736121675160).

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

323321000040 is a wasteful number, since it uses less digits than its factorization.

323321000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 323321000040 its reverse (40000123323), we get a palindrome (363321123363).

The spelling of 323321000040 in words is "three hundred twenty-three billion, three hundred twenty-one million, forty", and thus it is an aban number.