444735065522560 has 64 divisors (see below), whose sum is σ = 1063201261331520. Its totient is φ = 177892939411456.

The previous prime is 444735065522543. The next prime is 444735065522581. The reversal of 444735065522560 is 65225560537444.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 444735065522495 and 444735065522504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107106297 + ... + 111181063.

It is an arithmetic number, because the mean of its divisors is an integer number (16612519708305).

Almost surely, 2^{444735065522560} is an apocalyptic number.

444735065522560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444735065522560 is an abundant number, since it is smaller than the sum of its proper divisors (618466195808960).

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

444735065522560 is a wasteful number, since it uses less digits than its factorization.

444735065522560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245323 (or 4245311 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 58.

The spelling of 444735065522560 in words is "four hundred forty-four trillion, seven hundred thirty-five billion, sixty-five million, five hundred twenty-two thousand, five hundred sixty".