442414221219 has 16 divisors (see below), whose sum is σ = 655444224000. Its totient is φ = 294935727528.

The previous prime is 442414221199. The next prime is 442414221251. The reversal of 442414221219 is 912122414244.

442414221219 is a `hidden beast` number, since 4 + 4 + 2 + 414 + 2 + 21 + 219 = 666.

It is not a de Polignac number, because 442414221219 - 2³¹ = 440266737571 is a prime.

It is a super-2 number, since 2×442414221219² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442414221619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1103982 + ... + 1450380.

It is an arithmetic number, because the mean of its divisors is an integer number (40965264000).

Almost surely, 2^442414221219 is an apocalyptic number.

442414221219 is a deficient number, since it is larger than the sum of its proper divisors (213030002781).

442414221219 is a wasteful number, since it uses less digits than its factorization.

442414221219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393711 (or 393705 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 442414221219 in words is "four hundred forty-two billion, four hundred fourteen million, two hundred twenty-one thousand, two hundred nineteen".