444114301334130 has 256 divisors, whose sum is σ = 1445183738634240. Its totient is φ = 94840182049536.

The previous prime is 444114301334113. The next prime is 444114301334159. The reversal of 444114301334130 is 31433103411444.

444114301334130 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 1 + 4 + 301 + 3 + 341 + 3 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116928117 + ... + 120666536.

It is an arithmetic number, because the mean of its divisors is an integer number (5645248979040).

Almost surely, 2^{444114301334130} is an apocalyptic number.

444114301334130 is an abundant number, since it is smaller than the sum of its proper divisors (1001069437300110).

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

444114301334130 is a wasteful number, since it uses less digits than its factorization.

444114301334130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237594742 (or 237594736 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 444114301334130 its reverse (31433103411444), we get a palindrome (475547404745574).

The spelling of 444114301334130 in words is "four hundred forty-four trillion, one hundred fourteen billion, three hundred one million, three hundred thirty-four thousand, one hundred thirty".