30442441304004 has 96 divisors (see below), whose sum is σ = 77352420620160. Its totient is φ = 9279338268672.

The previous prime is 30442441303969. The next prime is 30442441304083. The reversal of 30442441304004 is 40040314424403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2507259 + ... + 8195805.

It is an arithmetic number, because the mean of its divisors is an integer number (805754381460).

Almost surely, 2^{30442441304004} is an apocalyptic number.

30442441304004 is a gapful number since it is divisible by the number (34) 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 30442441304004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38676210310080).

30442441304004 is an abundant number, since it is smaller than the sum of its proper divisors (46909979316156).

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

30442441304004 is a wasteful number, since it uses less digits than its factorization.

30442441304004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689317 (or 5689315 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 30442441304004 its reverse (40040314424403), we get a palindrome (70482755728407).

The spelling of 30442441304004 in words is "thirty trillion, four hundred forty-two billion, four hundred forty-one million, three hundred four thousand, four".