442438140480 has 448 divisors, whose sum is σ = 1744443064320. Its totient is φ = 92714803200.

The previous prime is 442438140467. The next prime is 442438140517. The reversal of 442438140480 is 84041834244.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3902190 + ... + 4013970.

Almost surely, 2^442438140480 is an apocalyptic number.

442438140480 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 442438140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872221532160).

442438140480 is an abundant number, since it is smaller than the sum of its proper divisors (1302004923840).

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

442438140480 is a wasteful number, since it uses less digits than its factorization.

442438140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111858 (or 111848 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 442438140480 in words is "four hundred forty-two billion, four hundred thirty-eight million, one hundred forty thousand, four hundred eighty".