321324131040 has 192 divisors, whose sum is σ = 1115120950272. Its totient is φ = 77125376000.

The previous prime is 321324130997. The next prime is 321324131057. The reversal of 321324131040 is 40131423123.

It is a happy number.

It is a super-2 number, since 2×321324131040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 321324131040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232009 + ... + 834551.

It is an arithmetic number, because the mean of its divisors is an integer number (5807921616).

Almost surely, 2^321324131040 is an apocalyptic number.

321324131040 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 321324131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557560475136).

321324131040 is an abundant number, since it is smaller than the sum of its proper divisors (793796819232).

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

321324131040 is a wasteful number, since it uses less digits than its factorization.

321324131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602673 (or 602665 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 321324131040 its reverse (40131423123), we get a palindrome (361455554163).

The spelling of 321324131040 in words is "three hundred twenty-one billion, three hundred twenty-four million, one hundred thirty-one thousand, forty".