444453330050430 has 128 divisors (see below), whose sum is σ = 1125196871270400. Its totient is φ = 112046438160000.

The previous prime is 444453330050383. The next prime is 444453330050557. The reversal of 444453330050430 is 34050033354444.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 552236251 + ... + 553040489.

It is an arithmetic number, because the mean of its divisors is an integer number (8790600556800).

Almost surely, 2^{444453330050430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444453330050430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562598435635200).

444453330050430 is an abundant number, since it is smaller than the sum of its proper divisors (680743541219970).

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

444453330050430 is a wasteful number, since it uses less digits than its factorization.

444453330050430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806310.

The product of its (nonzero) digits is 2073600, while the sum is 42.

The spelling of 444453330050430 in words is "four hundred forty-four trillion, four hundred fifty-three billion, three hundred thirty million, fifty thousand, four hundred thirty".