4441416141444 has 96 divisors (see below), whose sum is σ = 10884416277504. Its totient is φ = 1406873888640.

The previous prime is 4441416141359. The next prime is 4441416141469.

4441416141444 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 = 4441416141396 and 4441416141405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126083754 + ... + 126118974.

It is an arithmetic number, because the mean of its divisors is an integer number (113379336224).

Almost surely, 2^{4441416141444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441416141444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442208138752).

4441416141444 is an abundant number, since it is smaller than the sum of its proper divisors (6443000136060).

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

4441416141444 is a wasteful number, since it uses less digits than its factorization.

4441416141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38217 (or 38215 counting only the distinct ones).

The product of its digits is 393216, while the sum is 42.

The spelling of 4441416141444 in words is "four trillion, four hundred forty-one billion, four hundred sixteen million, one hundred forty-one thousand, four hundred forty-four".