324342130240 has 112 divisors (see below), whose sum is σ = 804081827952. Its totient is φ = 124500934656.

The previous prime is 324342130199. The next prime is 324342130267. The reversal of 324342130240 is 42031243423.

It can be written as a sum of positive squares in 8 ways, for example, as 77667001344 + 246675128896 = 278688^2 + 496664^2 .

It is a super-2 number, since 2×324342130240² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 324342130199 and 324342130208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676692 + ... + 1051948.

Almost surely, 2^324342130240 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 324342130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402040913976).

324342130240 is an abundant number, since it is smaller than the sum of its proper divisors (479739697712).

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

324342130240 is a wasteful number, since it uses less digits than its factorization.

324342130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375384 (or 375374 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 324342130240 its reverse (42031243423), we get a palindrome (366373373663).

The spelling of 324342130240 in words is "three hundred twenty-four billion, three hundred forty-two million, one hundred thirty thousand, two hundred forty".