4441145353344 has 144 divisors (see below), whose sum is σ = 14866366052070. Its totient is φ = 1268898656256.

The previous prime is 4441145353237. The next prime is 4441145353361. The reversal of 4441145353344 is 4433535411444.

4441145353344 is a `hidden beast` number, since 4 + 4 + 41 + 1 + 4 + 535 + 33 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4138425313344 + 302720040000 = 2034312^2 + 550200^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4441145353344² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4441145353344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39281929 + ... + 39394824.

Almost surely, 2^{4441145353344} is an apocalyptic number.

It is an amenable number.

4441145353344 is an abundant number, since it is smaller than the sum of its proper divisors (10425220698726).

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

4441145353344 is a wasteful number, since it uses less digits than its factorization.

4441145353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78676787 (or 78676765 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

The spelling of 4441145353344 in words is "four trillion, four hundred forty-one billion, one hundred forty-five million, three hundred fifty-three thousand, three hundred forty-four".