331142343200240 has 320 divisors, whose sum is σ = 1008116916387840. Its totient is φ = 99108266065920.

The previous prime is 331142343200233. The next prime is 331142343200261. The reversal of 331142343200240 is 42002343241133.

It is a junction number, because it is equal to n+sod(n) for n = 331142343200197 and 331142343200206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41112944 + ... + 48503183.

It is an arithmetic number, because the mean of its divisors is an integer number (3150365363712).

Almost surely, 2^{331142343200240} is an apocalyptic number.

It is an amenable number.

331142343200240 is an abundant number, since it is smaller than the sum of its proper divisors (676974573187600).

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

331142343200240 is a wasteful number, since it uses less digits than its factorization.

331142343200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89616200 (or 89616194 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 331142343200240 its reverse (42002343241133), we get a palindrome (373144686441373).

The spelling of 331142343200240 in words is "three hundred thirty-one trillion, one hundred forty-two billion, three hundred forty-three million, two hundred thousand, two hundred forty".