442350533321020 has 96 divisors (see below), whose sum is σ = 954466070342400. Its totient is φ = 172111685566464.

The previous prime is 442350533321017. The next prime is 442350533321069. The reversal of 442350533321020 is 20123335053244.

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, 932246191 + ... + 932720569.

It is an arithmetic number, because the mean of its divisors is an integer number (9942354899400).

Almost surely, 2^{442350533321020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442350533321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477233035171200).

442350533321020 is an abundant number, since it is smaller than the sum of its proper divisors (512115537021380).

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

442350533321020 is a wasteful number, since it uses less digits than its factorization.

442350533321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478907 (or 478905 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 442350533321020 its reverse (20123335053244), we get a palindrome (462473868374264).

The spelling of 442350533321020 in words is "four hundred forty-two trillion, three hundred fifty billion, five hundred thirty-three million, three hundred twenty-one thousand, twenty".