441435424534144 has 32 divisors (see below), whose sum is σ = 879598055700000. Its totient is φ = 220673559574272.

The previous prime is 441435424534129. The next prime is 441435424534171.

441435424534144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 441435424534091 and 441435424534100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 344300542 + ... + 345580285.

It is an arithmetic number, because the mean of its divisors is an integer number (27487439240625).

Almost surely, 2^{441435424534144} is an apocalyptic number.

It is an amenable number.

441435424534144 is a deficient number, since it is larger than the sum of its proper divisors (438162631165856).

441435424534144 is an equidigital number, since it uses as much as digits as its factorization.

441435424534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689885840 (or 689885828 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 52.

The spelling of 441435424534144 in words is "four hundred forty-one trillion, four hundred thirty-five billion, four hundred twenty-four million, five hundred thirty-four thousand, one hundred forty-four".