444435141534444 has 48 divisors (see below), whose sum is σ = 1183380857349600. Its totient is φ = 144141126982848.

The previous prime is 444435141534343. The next prime is 444435141534479.

444435141534444 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 3 + 5 + 141 + 53 + 4 + 444 = 666.

444435141534444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55609998699 + ... + 55610006690.

It is an arithmetic number, because the mean of its divisors is an integer number (24653767861450).

Almost surely, 2^{444435141534444} is an apocalyptic number.

It is an amenable number.

444435141534444 is an abundant number, since it is smaller than the sum of its proper divisors (738945715815156).

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

444435141534444 is a wasteful number, since it uses less digits than its factorization.

444435141534444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111220005439 (or 111220005431 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 54.

The spelling of 444435141534444 in words is "four hundred forty-four trillion, four hundred thirty-five billion, one hundred forty-one million, five hundred thirty-four thousand, four hundred forty-four".