442155051441 has 48 divisors (see below), whose sum is σ = 680990965200. Its totient is φ = 275482681344.

The previous prime is 442155051421. The next prime is 442155051581. The reversal of 442155051441 is 144150551244.

442155051441 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 5 + 505 + 144 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 116717889600 + 325437161841 = 341640^2 + 570471^2 .

It is not a de Polignac number, because 442155051441 - 2¹¹ = 442155049393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442155051396 and 442155051405.

It is not an unprimeable number, because it can be changed into a prime (442155051421) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 42968425 + ... + 42978713.

It is an arithmetic number, because the mean of its divisors is an integer number (14187311775).

Almost surely, 2^442155051441 is an apocalyptic number.

It is an amenable number.

442155051441 is a deficient number, since it is larger than the sum of its proper divisors (238835913759).

442155051441 is a wasteful number, since it uses less digits than its factorization.

442155051441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12258 (or 12255 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 442155051441 in words is "four hundred forty-two billion, one hundred fifty-five million, fifty-one thousand, four hundred forty-one".