444142412012300 has 72 divisors (see below), whose sum is σ = 1014553624568400. Its totient is φ = 168300152766720.

The previous prime is 444142412012297. The next prime is 444142412012317. The reversal of 444142412012300 is 3210214241444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45296174 + ... + 54222026.

It is an arithmetic number, because the mean of its divisors is an integer number (14091022563450).

Almost surely, 2^{444142412012300} is an apocalyptic number.

It is an amenable number.

444142412012300 is an abundant number, since it is smaller than the sum of its proper divisors (570411212556100).

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

444142412012300 is a wasteful number, since it uses less digits than its factorization.

444142412012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8952075 (or 8952068 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 444142412012300 its reverse (3210214241444), we get a palindrome (447352626253744).

The spelling of 444142412012300 in words is "four hundred forty-four trillion, one hundred forty-two billion, four hundred twelve million, twelve thousand, three hundred".