442388338560 has 1024 divisors, whose sum is σ = 1847750400000. Its totient is φ = 99980697600.

The previous prime is 442388338549. The next prime is 442388338603. The reversal of 442388338560 is 65833883244.

442388338560 is a `hidden beast` number, since 4 + 42 + 3 + 8 + 8 + 3 + 38 + 560 = 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 = 442388338497 and 442388338506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 598630671 + ... + 598631409.

It is an arithmetic number, because the mean of its divisors is an integer number (1804443750).

Almost surely, 2^442388338560 is an apocalyptic number.

442388338560 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 442388338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923875200000).

442388338560 is an abundant number, since it is smaller than the sum of its proper divisors (1405362061440).

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

442388338560 is a wasteful number, since it uses less digits than its factorization.

442388338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 442388338560 in words is "four hundred forty-two billion, three hundred eighty-eight million, three hundred thirty-eight thousand, five hundred sixty".