321065524040 has 64 divisors (see below), whose sum is σ = 742002251760. Its totient is φ = 124957716480.

The previous prime is 321065524033. The next prime is 321065524057. The reversal of 321065524040 is 40425560123.

It can be written as a sum of positive squares in 8 ways, for example, as 104953969156 + 216111554884 = 323966^2 + 464878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 321065523988 and 321065524006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349292 + ... + 874148.

Almost surely, 2^321065524040 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 321065524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371001125880).

321065524040 is an abundant number, since it is smaller than the sum of its proper divisors (420936727720).

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

321065524040 is a wasteful number, since it uses less digits than its factorization.

321065524040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525282 (or 525278 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 321065524040 in words is "three hundred twenty-one billion, sixty-five million, five hundred twenty-four thousand, forty".