331441123442000 has 320 divisors, whose sum is σ = 941589566910720. Its totient is φ = 111246379776000.

The previous prime is 331441123441973. The next prime is 331441123442053. The reversal of 331441123442000 is 244321144133.

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, 8618018771 + ... + 8618057229.

It is an arithmetic number, because the mean of its divisors is an integer number (2942467396596).

Almost surely, 2^{331441123442000} 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 331441123442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470794783455360).

331441123442000 is an abundant number, since it is smaller than the sum of its proper divisors (610148443468720).

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

331441123442000 is a wasteful number, since it uses less digits than its factorization.

331441123442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68639 (or 68623 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 331441123442000 its reverse (244321144133), we get a palindrome (331685444586133).

The spelling of 331441123442000 in words is "three hundred thirty-one trillion, four hundred forty-one billion, one hundred twenty-three million, four hundred forty-two thousand".