442446660480 has 256 divisors, whose sum is σ = 1539322963200. Its totient is φ = 107202969600.

The previous prime is 442446660457. The next prime is 442446660569. The reversal of 442446660480 is 84066644244.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50915976 + ... + 50924664.

It is an arithmetic number, because the mean of its divisors is an integer number (6012980325).

Almost surely, 2^442446660480 is an apocalyptic number.

442446660480 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 442446660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769661481600).

442446660480 is an abundant number, since it is smaller than the sum of its proper divisors (1096876302720).

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

442446660480 is a wasteful number, since it uses less digits than its factorization.

442446660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11133 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 48.

The spelling of 442446660480 in words is "four hundred forty-two billion, four hundred forty-six million, six hundred sixty thousand, four hundred eighty".