442415260215 has 72 divisors (see below), whose sum is σ = 789004380528. Its totient is φ = 229325644800.

The previous prime is 442415260181. The next prime is 442415260229. The reversal of 442415260215 is 512062514244.

442415260215 is a `hidden beast` number, since 4 + 4 + 2 + 41 + 5 + 2 + 602 + 1 + 5 = 666.

It is not a de Polignac number, because 442415260215 - 2⁷ = 442415260087 is a prime.

It is a super-2 number, since 2×442415260215² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442415260215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64743439 + ... + 64750271.

It is an arithmetic number, because the mean of its divisors is an integer number (10958394174).

Almost surely, 2^442415260215 is an apocalyptic number.

442415260215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

442415260215 is a deficient number, since it is larger than the sum of its proper divisors (346589120313).

442415260215 is a wasteful number, since it uses less digits than its factorization.

442415260215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7969 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 442415260215 its reverse (512062514244), we get a palindrome (954477774459).

The spelling of 442415260215 in words is "four hundred forty-two billion, four hundred fifteen million, two hundred sixty thousand, two hundred fifteen".