442540216800 has 1152 divisors, whose sum is σ = 1821033446400. Its totient is φ = 102767616000.

The previous prime is 442540216739. The next prime is 442540216829. The reversal of 442540216800 is 8612045244.

442540216800 is a `hidden beast` number, since 442 + 54 + 0 + 2 + 168 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 624174846 + ... + 624175554.

It is an arithmetic number, because the mean of its divisors is an integer number (1580758200).

Almost surely, 2^442540216800 is an apocalyptic number.

442540216800 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 442540216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910516723200).

442540216800 is an abundant number, since it is smaller than the sum of its proper divisors (1378493229600).

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

442540216800 is a wasteful number, since it uses less digits than its factorization.

442540216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 442540216800 in words is "four hundred forty-two billion, five hundred forty million, two hundred sixteen thousand, eight hundred".