442315281408 has 704 divisors, whose sum is σ = 1602896504832. Its totient is φ = 104711454720.

The previous prime is 442315281403. The next prime is 442315281409. The reversal of 442315281408 is 804182513244.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 442315281408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442315281403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255230110 + ... + 255231842.

Almost surely, 2^442315281408 is an apocalyptic number.

442315281408 is a gapful number since it is divisible by the number (48) 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 442315281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801448252416).

442315281408 is an abundant number, since it is smaller than the sum of its proper divisors (1160581223424).

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

442315281408 is a wasteful number, since it uses less digits than its factorization.

442315281408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 442315281408 in words is "four hundred forty-two billion, three hundred fifteen million, two hundred eighty-one thousand, four hundred eight".