442125848164 has 384 divisors, whose sum is σ = 1084104612864. Its totient is φ = 152285184000.

The previous prime is 442125848159. The next prime is 442125848173. The reversal of 442125848164 is 461848521244.

It is a happy number.

It is a super-2 number, since 2×442125848164² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2442684154 + ... + 2442684334.

It is an arithmetic number, because the mean of its divisors is an integer number (2823189096).

Almost surely, 2^442125848164 is an apocalyptic number.

442125848164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442125848164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542052306432).

442125848164 is an abundant number, since it is smaller than the sum of its proper divisors (641978764700).

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

442125848164 is a wasteful number, since it uses less digits than its factorization.

442125848164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 49.

The spelling of 442125848164 in words is "four hundred forty-two billion, one hundred twenty-five million, eight hundred forty-eight thousand, one hundred sixty-four".