442074057320 has 128 divisors (see below), whose sum is σ = 1141097760000. Its totient is φ = 150991036416.

The previous prime is 442074057311. The next prime is 442074057323. The reversal of 442074057320 is 23750470244.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (442074057323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160811306 + ... + 160814054.

It is an arithmetic number, because the mean of its divisors is an integer number (8914826250).

Almost surely, 2^442074057320 is an apocalyptic number.

442074057320 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 442074057320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570548880000).

442074057320 is an abundant number, since it is smaller than the sum of its proper divisors (699023702680).

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

442074057320 is a wasteful number, since it uses less digits than its factorization.

442074057320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 38.

The spelling of 442074057320 in words is "four hundred forty-two billion, seventy-four million, fifty-seven thousand, three hundred twenty".