331521004046340 has 192 divisors, whose sum is σ = 1041732679680000. Its totient is φ = 87520932438912.

The previous prime is 331521004046327. The next prime is 331521004046359. The reversal of 331521004046340 is 43640400125133.

331521004046340 is a `hidden beast` number, since 3 + 3 + 1 + 5 + 2 + 10 + 0 + 4 + 0 + 4 + 634 + 0 = 666.

It is a super-2 number, since 2×331521004046340² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 331521004046295 and 331521004046304.

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, 84698397 + ... + 88526043.

It is an arithmetic number, because the mean of its divisors is an integer number (5425691040000).

Almost surely, 2^{331521004046340} is an apocalyptic number.

331521004046340 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 331521004046340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520866339840000).

331521004046340 is an abundant number, since it is smaller than the sum of its proper divisors (710211675633660).

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

331521004046340 is a wasteful number, since it uses less digits than its factorization.

331521004046340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829271 (or 3829263 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 331521004046340 in words is "three hundred thirty-one trillion, five hundred twenty-one billion, four million, forty-six thousand, three hundred forty".