331067609340 has 192 divisors, whose sum is σ = 1057911442560. Its totient is φ = 76764119040.

The previous prime is 331067609333. The next prime is 331067609359. The reversal of 331067609340 is 43906760133.

331067609340 = 89840² + 89841² + ... + 89880².

It is a junction number, because it is equal to n+sod(n) for n = 331067609292 and 331067609301.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 748932 + ... + 1105908.

It is an arithmetic number, because the mean of its divisors is an integer number (5509955430).

Almost surely, 2^331067609340 is an apocalyptic number.

331067609340 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 331067609340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528955721280).

331067609340 is an abundant number, since it is smaller than the sum of its proper divisors (726843833220).

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

331067609340 is a wasteful number, since it uses less digits than its factorization.

331067609340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357072 (or 357070 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The spelling of 331067609340 in words is "three hundred thirty-one billion, sixty-seven million, six hundred nine thousand, three hundred forty".