442125305406 has 48 divisors (see below), whose sum is σ = 988971429888. Its totient is φ = 142602022800.

The previous prime is 442125305399. The next prime is 442125305443. The reversal of 442125305406 is 604503521244.

442125305406 is a `hidden beast` number, since 4 + 4 + 212 + 5 + 30 + 5 + 406 = 666.

It is a super-3 number, since 3×442125305406³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4477095 + ... + 4574781.

It is an arithmetic number, because the mean of its divisors is an integer number (20603571456).

Almost surely, 2^442125305406 is an apocalyptic number.

442125305406 is an abundant number, since it is smaller than the sum of its proper divisors (546846124482).

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

442125305406 is a wasteful number, since it uses less digits than its factorization.

442125305406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105837 (or 105834 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 442125305406 in words is "four hundred forty-two billion, one hundred twenty-five million, three hundred five thousand, four hundred six".