444071634434160 has 160 divisors (see below), whose sum is σ = 1426974964899840. Its totient is φ = 114119636736000.

The previous prime is 444071634434117. The next prime is 444071634434179. The reversal of 444071634434160 is 61434436170444.

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 31 ways as a sum of consecutive naturals, for example, 123090141 + ... + 126646460.

It is an arithmetic number, because the mean of its divisors is an integer number (8918593530624).

Almost surely, 2^{444071634434160} is an apocalyptic number.

444071634434160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444071634434160 is an abundant number, since it is smaller than the sum of its proper divisors (982903330465680).

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

444071634434160 is a wasteful number, since it uses less digits than its factorization.

444071634434160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249736887 (or 249736881 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 51.

The spelling of 444071634434160 in words is "four hundred forty-four trillion, seventy-one billion, six hundred thirty-four million, four hundred thirty-four thousand, one hundred sixty".