331542040012224 has 224 divisors, whose sum is σ = 889466240871936. Its totient is φ = 108979743375360.

The previous prime is 331542040012207. The next prime is 331542040012231. The reversal of 331542040012224 is 422210040245133.

It is a happy number.

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, 4674772284 + ... + 4674843204.

It is an arithmetic number, because the mean of its divisors is an integer number (3970831432464).

Almost surely, 2^{331542040012224} 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 331542040012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444733120435968).

331542040012224 is an abundant number, since it is smaller than the sum of its proper divisors (557924200859712).

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

331542040012224 is a wasteful number, since it uses less digits than its factorization.

331542040012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72083 (or 72073 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 331542040012224 its reverse (422210040245133), we get a palindrome (753752080257357).

The spelling of 331542040012224 in words is "three hundred thirty-one trillion, five hundred forty-two billion, forty million, twelve thousand, two hundred twenty-four".