442434400030 has 64 divisors (see below), whose sum is σ = 930760790400. Its totient is φ = 151359328512.

The previous prime is 442434400027. The next prime is 442434400063. The reversal of 442434400030 is 30004434244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426384 + ... + 1708636.

It is an arithmetic number, because the mean of its divisors is an integer number (14543137350).

Almost surely, 2^442434400030 is an apocalyptic number.

442434400030 is an abundant number, since it is smaller than the sum of its proper divisors (488326390370).

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

442434400030 is a wasteful number, since it uses less digits than its factorization.

442434400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282738 (or 282724 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 442434400030 its reverse (30004434244), we get a palindrome (472438834274).

The spelling of 442434400030 in words is "four hundred forty-two billion, four hundred thirty-four million, four hundred thousand, thirty".