329194096140 has 432 divisors, whose sum is σ = 1222199435520. Its totient is φ = 65798853120.

The previous prime is 329194096129. The next prime is 329194096157. The reversal of 329194096140 is 41690491923.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 329194096140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9422905 + ... + 9457775.

It is an arithmetic number, because the mean of its divisors is an integer number (2829165360).

Almost surely, 2^329194096140 is an apocalyptic number.

329194096140 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 329194096140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611099717760).

329194096140 is an abundant number, since it is smaller than the sum of its proper divisors (893005339380).

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

329194096140 is a wasteful number, since it uses less digits than its factorization.

329194096140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34942 (or 34920 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 329194096140 in words is "three hundred twenty-nine billion, one hundred ninety-four million, ninety-six thousand, one hundred forty".