330044144131400 has 96 divisors (see below), whose sum is σ = 780604019395200. Its totient is φ = 129739256966400.

The previous prime is 330044144131397. The next prime is 330044144131433. The reversal of 330044144131400 is 4131441440033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33139409 + ... + 41932191.

It is an arithmetic number, because the mean of its divisors is an integer number (8131291868700).

Almost surely, 2^{330044144131400} 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 330044144131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390302009697600).

330044144131400 is an abundant number, since it is smaller than the sum of its proper divisors (450559875263800).

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

330044144131400 is a wasteful number, since it uses less digits than its factorization.

330044144131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796039 (or 8796030 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 330044144131400 its reverse (4131441440033), we get a palindrome (334175585571433).

The spelling of 330044144131400 in words is "three hundred thirty trillion, forty-four billion, one hundred forty-four million, one hundred thirty-one thousand, four hundred".