441133343331144 has 64 divisors (see below), whose sum is σ = 1108614560394240. Its totient is φ = 146273630845440.

The previous prime is 441133343331097. The next prime is 441133343331211.

441133343331144 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 = 441133343331096 and 441133343331105.

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, 1251773814 + ... + 1252126170.

It is an arithmetic number, because the mean of its divisors is an integer number (17322102506160).

Almost surely, 2^{441133343331144} is an apocalyptic number.

It is an amenable number.

441133343331144 is an abundant number, since it is smaller than the sum of its proper divisors (667481217063096).

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

441133343331144 is a wasteful number, since it uses less digits than its factorization.

441133343331144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625670 (or 625666 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 441133343331144 in words is "four hundred forty-one trillion, one hundred thirty-three billion, three hundred forty-three million, three hundred thirty-one thousand, one hundred forty-four".