442707589632 has 480 divisors, whose sum is σ = 1507838492160. Its totient is φ = 114132049920.

The previous prime is 442707589591. The next prime is 442707589697. The reversal of 442707589632 is 236985707244.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115076733 + ... + 115080579.

It is an arithmetic number, because the mean of its divisors is an integer number (3141330192).

Almost surely, 2^442707589632 is an apocalyptic number.

442707589632 is a gapful number since it is divisible by the number (42) 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 442707589632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753919246080).

442707589632 is an abundant number, since it is smaller than the sum of its proper divisors (1065130902528).

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

442707589632 is a wasteful number, since it uses less digits than its factorization.

442707589632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 442707589632 in words is "four hundred forty-two billion, seven hundred seven million, five hundred eighty-nine thousand, six hundred thirty-two".