330040100401000 has 256 divisors, whose sum is σ = 893773801739520. Its totient is φ = 112738063360000.

The previous prime is 330040100400919. The next prime is 330040100401043. The reversal of 330040100401000 is 104001040033.

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, 95733219 + ... + 99120781.

It is an arithmetic number, because the mean of its divisors is an integer number (3491303913045).

Almost surely, 2^{330040100401000} 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 330040100401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446886900869760).

330040100401000 is an abundant number, since it is smaller than the sum of its proper divisors (563733701338520).

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

330040100401000 is a wasteful number, since it uses less digits than its factorization.

330040100401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388133 (or 3388119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 330040100401000 its reverse (104001040033), we get a palindrome (330144101441033).

The spelling of 330040100401000 in words is "three hundred thirty trillion, forty billion, one hundred million, four hundred one thousand".