331411936128 has 256 divisors, whose sum is σ = 1098312499200. Its totient is φ = 86207348736.

The previous prime is 331411936103. The next prime is 331411936129. The reversal of 331411936128 is 821639114133.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 331411936128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331411936129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2485953 + ... + 2615871.

It is an arithmetic number, because the mean of its divisors is an integer number (4290283200).

Almost surely, 2^331411936128 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 331411936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549156249600).

331411936128 is an abundant number, since it is smaller than the sum of its proper divisors (766900563072).

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

331411936128 is a wasteful number, since it uses less digits than its factorization.

331411936128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130029 (or 130017 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The spelling of 331411936128 in words is "three hundred thirty-one billion, four hundred eleven million, nine hundred thirty-six thousand, one hundred twenty-eight".