441343343343144 has 96 divisors (see below), whose sum is σ = 1284122464853760. Its totient is φ = 125873324290560.

The previous prime is 441343343343143. The next prime is 441343343343191.

441343343343144 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441343343343093 and 441343343343102.

It is not an unprimeable number, because it can be changed into a prime (441343343343143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4469884024 + ... + 4469982759.

It is an arithmetic number, because the mean of its divisors is an integer number (13376275675560).

Almost surely, 2^{441343343343144} is an apocalyptic number.

441343343343144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441343343343144 is an abundant number, since it is smaller than the sum of its proper divisors (842779121510616).

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

441343343343144 is a wasteful number, since it uses less digits than its factorization.

441343343343144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8939866831 (or 8939866816 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

The spelling of 441343343343144 in words is "four hundred forty-one trillion, three hundred forty-three billion, three hundred forty-three million, three hundred forty-three thousand, one hundred forty-four".