321430599040 has 256 divisors, whose sum is σ = 809059104000. Its totient is φ = 121947291648.

The previous prime is 321430599037. The next prime is 321430599071. The reversal of 321430599040 is 40995034123.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 321430598984 and 321430599002.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 376823254 + ... + 376824106.

It is an arithmetic number, because the mean of its divisors is an integer number (3160387125).

Almost surely, 2^321430599040 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 321430599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404529552000).

321430599040 is an abundant number, since it is smaller than the sum of its proper divisors (487628504960).

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

321430599040 is a wasteful number, since it uses less digits than its factorization.

321430599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 321430599040 in words is "three hundred twenty-one billion, four hundred thirty million, five hundred ninety-nine thousand, forty".