441223727322144 has 48 divisors (see below), whose sum is σ = 1247305536856512. Its totient is φ = 135761146867968.

The previous prime is 441223727322047. The next prime is 441223727322197.

441223727322144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 441223727322093 and 441223727322102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176772325404 + ... + 176772327899.

It is an arithmetic number, because the mean of its divisors is an integer number (25985532017844).

Almost surely, 2^{441223727322144} is an apocalyptic number.

It is an amenable number.

441223727322144 is an abundant number, since it is smaller than the sum of its proper divisors (806081809534368).

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

441223727322144 is a wasteful number, since it uses less digits than its factorization.

441223727322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353544653329 (or 353544653321 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 48.

The spelling of 441223727322144 in words is "four hundred forty-one trillion, two hundred twenty-three billion, seven hundred twenty-seven million, three hundred twenty-two thousand, one hundred forty-four".