331534435140 has 144 divisors (see below), whose sum is σ = 1022514554880. Its totient is φ = 86928042240.

The previous prime is 331534435139. The next prime is 331534435229. The reversal of 331534435140 is 41534435133.

331534435140 is a `hidden beast` number, since 3 + 31 + 53 + 4 + 435 + 140 = 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 = 331534435095 and 331534435104.

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 47 ways as a sum of consecutive naturals, for example, 54534621 + ... + 54540699.

It is an arithmetic number, because the mean of its divisors is an integer number (7100795520).

Almost surely, 2^331534435140 is an apocalyptic number.

331534435140 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 331534435140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511257277440).

331534435140 is an abundant number, since it is smaller than the sum of its proper divisors (690980119740).

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

331534435140 is a wasteful number, since it uses less digits than its factorization.

331534435140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 331534435140 in words is "three hundred thirty-one billion, five hundred thirty-four million, four hundred thirty-five thousand, one hundred forty".