441201142304 has 48 divisors (see below), whose sum is σ = 935489458008. Its totient is φ = 203618629632.

The previous prime is 441201142267. The next prime is 441201142313. The reversal of 441201142304 is 403241102144.

It can be written as a sum of positive squares in 4 ways, for example, as 384772090000 + 56429052304 = 620300^2 + 237548^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 11519474 + ... + 11557710.

Almost surely, 2^441201142304 is an apocalyptic number.

It is an amenable number.

441201142304 is an abundant number, since it is smaller than the sum of its proper divisors (494288315704).

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

441201142304 is a wasteful number, since it uses less digits than its factorization.

441201142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65997 (or 65989 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 441201142304 its reverse (403241102144), we get a palindrome (844442244448).

The spelling of 441201142304 in words is "four hundred forty-one billion, two hundred one million, one hundred forty-two thousand, three hundred four".