331107697751040 has 2112 divisors, whose sum is σ = 1435368748290048. Its totient is φ = 68822551756800.

The previous prime is 331107697751011. The next prime is 331107697751101. The reversal of 331107697751040 is 40157796701133.

It is a happy number.

331107697751040 is a `hidden beast` number, since 3 + 3 + 1 + 10 + 7 + 6 + 9 + 77 + 510 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149080457130 + ... + 149080459350.

It is an arithmetic number, because the mean of its divisors is an integer number (679625354304).

Almost surely, 2^{331107697751040} is an apocalyptic number.

331107697751040 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 331107697751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717684374145024).

331107697751040 is an abundant number, since it is smaller than the sum of its proper divisors (1104261050539008).

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

331107697751040 is a wasteful number, since it uses less digits than its factorization.

331107697751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 331107697751040 in words is "three hundred thirty-one trillion, one hundred seven billion, six hundred ninety-seven million, seven hundred fifty-one thousand, forty".