331641351410040 has 192 divisors, whose sum is σ = 1231954666675200. Its totient is φ = 75794880059136.

The previous prime is 331641351409937. The next prime is 331641351410051. The reversal of 331641351410040 is 40014153146133.

331641351410040 is a `hidden beast` number, since 3 + 3 + 1 + 641 + 3 + 5 + 1 + 4 + 1 + 0 + 0 + 4 + 0 = 666.

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 = 331641351409977 and 331641351410004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13894321 + ... + 29263199.

It is an arithmetic number, because the mean of its divisors is an integer number (6416430555600).

Almost surely, 2^{331641351410040} is an apocalyptic number.

331641351410040 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 331641351410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615977333337600).

331641351410040 is an abundant number, since it is smaller than the sum of its proper divisors (900313315265160).

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

331641351410040 is a wasteful number, since it uses less digits than its factorization.

331641351410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15377466 (or 15377459 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 331641351410040 in words is "three hundred thirty-one trillion, six hundred forty-one billion, three hundred fifty-one million, four hundred ten thousand, forty".