442244410205120 has 56 divisors (see below), whose sum is σ = 1053406717387584. Its totient is φ = 176845318419456.

The previous prime is 442244410205099. The next prime is 442244410205123. The reversal of 442244410205120 is 21502014442244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442244410205123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203784824 + ... + 205943543.

It is an arithmetic number, because the mean of its divisors is an integer number (18810834239064).

Almost surely, 2^{442244410205120} is an apocalyptic number.

442244410205120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442244410205120 is an abundant number, since it is smaller than the sum of its proper divisors (611162307182464).

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

442244410205120 is a wasteful number, since it uses less digits than its factorization.

442244410205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409731757 (or 409731747 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 442244410205120 its reverse (21502014442244), we get a palindrome (463746424647364).

The spelling of 442244410205120 in words is "four hundred forty-two trillion, two hundred forty-four billion, four hundred ten million, two hundred five thousand, one hundred twenty".