442820373120 has 512 divisors, whose sum is σ = 1595293056000. Its totient is φ = 116072828928.

The previous prime is 442820373109. The next prime is 442820373133. The reversal of 442820373120 is 21373028244.

It is a happy number.

442820373120 is a `hidden beast` number, since 4 + 4 + 282 + 0 + 373 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257004579 + ... + 257006301.

It is an arithmetic number, because the mean of its divisors is an integer number (3115806750).

Almost surely, 2^442820373120 is an apocalyptic number.

442820373120 is a gapful number since it is divisible by the number (40) 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 442820373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797646528000).

442820373120 is an abundant number, since it is smaller than the sum of its proper divisors (1152472682880).

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

442820373120 is a wasteful number, since it uses less digits than its factorization.

442820373120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 442820373120 in words is "four hundred forty-two billion, eight hundred twenty million, three hundred seventy-three thousand, one hundred twenty".