442521353443320 has 640 divisors, whose sum is σ = 1546339693409280. Its totient is φ = 113414950656000.

The previous prime is 442521353443241. The next prime is 442521353443339. The reversal of 442521353443320 is 23344353125244.

442521353443320 is a `hidden beast` number, since 4 + 4 + 2 + 52 + 1 + 3 + 534 + 43 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12176229069 + ... + 12176265411.

It is an arithmetic number, because the mean of its divisors is an integer number (2416155770952).

Almost surely, 2^{442521353443320} is an apocalyptic number.

442521353443320 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 442521353443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773169846704640).

442521353443320 is an abundant number, since it is smaller than the sum of its proper divisors (1103818339965960).

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

442521353443320 is a wasteful number, since it uses less digits than its factorization.

442521353443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37769 (or 37756 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

The spelling of 442521353443320 in words is "four hundred forty-two trillion, five hundred twenty-one billion, three hundred fifty-three million, four hundred forty-three thousand, three hundred twenty".