331143334122240 has 864 divisors, whose sum is σ = 1180544666176512. Its totient is φ = 85663936512000.

The previous prime is 331143334122157. The next prime is 331143334122277. The reversal of 331143334122240 is 42221433341133.

331143334122240 is a `hidden beast` number, since 3 + 3 + 1 + 14 + 3 + 3 + 3 + 412 + 224 + 0 = 666.

It is a super-2 number, since 2×331143334122240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 331143334122195 and 331143334122204.

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 95 ways as a sum of consecutive naturals, for example, 56499456910 + ... + 56499462770.

It is an arithmetic number, because the mean of its divisors is an integer number (1366371141408).

Almost surely, 2^{331143334122240} is an apocalyptic number.

331143334122240 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 331143334122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590272333088256).

331143334122240 is an abundant number, since it is smaller than the sum of its proper divisors (849401332054272).

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

331143334122240 is a wasteful number, since it uses less digits than its factorization.

331143334122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 331143334122240 its reverse (42221433341133), we get a palindrome (373364767463373).

The spelling of 331143334122240 in words is "three hundred thirty-one trillion, one hundred forty-three billion, three hundred thirty-four million, one hundred twenty-two thousand, two hundred forty".