321243341040 has 640 divisors, whose sum is σ = 1205472844800. Its totient is φ = 78312407040.

The previous prime is 321243340987. The next prime is 321243341063. The reversal of 321243341040 is 40143342123.

321243341040 is a `hidden beast` number, since 3 + 2 + 1 + 243 + 3 + 410 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 321243340995 and 321243341013.

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 127 ways as a sum of consecutive naturals, for example, 570591799 + ... + 570592361.

It is an arithmetic number, because the mean of its divisors is an integer number (1883551320).

Almost surely, 2^321243341040 is an apocalyptic number.

321243341040 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 321243341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602736422400).

321243341040 is an abundant number, since it is smaller than the sum of its proper divisors (884229503760).

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

321243341040 is a wasteful number, since it uses less digits than its factorization.

321243341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 321243341040 its reverse (40143342123), we get a palindrome (361386683163).

The spelling of 321243341040 in words is "three hundred twenty-one billion, two hundred forty-three million, three hundred forty-one thousand, forty".