442358027820 has 240 divisors, whose sum is σ = 1470055910400. Its totient is φ = 110967791616.

The previous prime is 442358027743. The next prime is 442358027827. The reversal of 442358027820 is 28720853244.

442358027820 is a `hidden beast` number, since 4 + 4 + 2 + 358 + 0 + 278 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (442358027827) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109249156 + ... + 109253204.

It is an arithmetic number, because the mean of its divisors is an integer number (6125232960).

Almost surely, 2^442358027820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442358027820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735027955200).

442358027820 is an abundant number, since it is smaller than the sum of its proper divisors (1027697882580).

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

442358027820 is a wasteful number, since it uses less digits than its factorization.

442358027820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054 (or 8043 counting only the distinct ones).

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

The spelling of 442358027820 in words is "four hundred forty-two billion, three hundred fifty-eight million, twenty-seven thousand, eight hundred twenty".