442983790080 has 1680 divisors, whose sum is σ = 1865324205360. Its totient is φ = 99970744320.

The previous prime is 442983790063. The next prime is 442983790189. The reversal of 442983790080 is 80097389244.

442983790080 is a `hidden beast` number, since 442 + 9 + 8 + 37 + 90 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 442983789999 and 442983790026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14289799665 + ... + 14289799695.

It is an arithmetic number, because the mean of its divisors is an integer number (1110312027).

Almost surely, 2^442983790080 is an apocalyptic number.

442983790080 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 442983790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932662102680).

442983790080 is an abundant number, since it is smaller than the sum of its proper divisors (1422340415280).

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

442983790080 is an equidigital number, since it uses as much as digits as its factorization.

442983790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 442983790080 in words is "four hundred forty-two billion, nine hundred eighty-three million, seven hundred ninety thousand, eighty".