442513522000 has 160 divisors (see below), whose sum is σ = 1178833264128. Its totient is φ = 159320000000.

The previous prime is 442513521979. The next prime is 442513522057. The reversal of 442513522000 is 225315244.

It is a self number, because there is not a number n which added to its sum of digits gives 442513522000.

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, 2122425 + ... + 2321575.

Almost surely, 2^442513522000 is an apocalyptic number.

442513522000 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 442513522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589416632064).

442513522000 is an abundant number, since it is smaller than the sum of its proper divisors (736319742128).

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

442513522000 is a wasteful number, since it uses less digits than its factorization.

442513522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199286 (or 199270 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 442513522000 its reverse (225315244), we get a palindrome (442738837244).

The spelling of 442513522000 in words is "four hundred forty-two billion, five hundred thirteen million, five hundred twenty-two thousand".