442014678405 has 64 divisors (see below), whose sum is σ = 789371654400. Its totient is φ = 234671904000.

The previous prime is 442014678377. The next prime is 442014678509. The reversal of 442014678405 is 504876410244.

442014678405 is a `hidden beast` number, since 4 + 420 + 146 + 7 + 84 + 0 + 5 = 666.

It is not a de Polignac number, because 442014678405 - 2⁷ = 442014678277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 119171691 + ... + 119175399.

It is an arithmetic number, because the mean of its divisors is an integer number (12333932100).

Almost surely, 2^442014678405 is an apocalyptic number.

442014678405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442014678405 is a deficient number, since it is larger than the sum of its proper divisors (347356975995).

442014678405 is a wasteful number, since it uses less digits than its factorization.

442014678405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 442014678405 in words is "four hundred forty-two billion, fourteen million, six hundred seventy-eight thousand, four hundred five".