442241910450 has 486 divisors, whose sum is σ = 1314320089719. Its totient is φ = 106596631680.

The previous prime is 442241910401. The next prime is 442241910533. The reversal of 442241910450 is 54019142244.

442241910450 is a `hidden beast` number, since 4 + 422 + 4 + 191 + 0 + 45 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 169629483321 + 272612427129 = 411861^2 + 522123^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=470235.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9409402327 + ... + 9409402373.

Almost surely, 2^442241910450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442241910450

442241910450 is an abundant number, since it is smaller than the sum of its proper divisors (872078179269).

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

442241910450 is a wasteful number, since it uses less digits than its factorization.

442241910450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 442241910450 in words is "four hundred forty-two billion, two hundred forty-one million, nine hundred ten thousand, four hundred fifty".