442528480000 has 360 divisors, whose sum is σ = 1140416899776. Its totient is φ = 171225600000.

The previous prime is 442528479973. The next prime is 442528480013. The reversal of 442528480000 is 84825244.

It is a super-2 number, since 2×442528480000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 901279755 + ... + 901280245.

Almost surely, 2^442528480000 is an apocalyptic number.

442528480000 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 442528480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570208449888).

442528480000 is an abundant number, since it is smaller than the sum of its proper divisors (697888419776).

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

442528480000 is an equidigital number, since it uses as much as digits as its factorization.

442528480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The spelling of 442528480000 in words is "four hundred forty-two billion, five hundred twenty-eight million, four hundred eighty thousand".