4444144414444 has 48 divisors (see below), whose sum is σ = 8912335703040. Its totient is φ = 1899484130880.

The previous prime is 4444144414427. The next prime is 4444144414477.

4444144414444 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 = 4444144414394 and 4444144414403.

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, 29191329 + ... + 29343175.

It is an arithmetic number, because the mean of its divisors is an integer number (185673660480).

Almost surely, 2^{4444144414444} is an apocalyptic number.

It is an amenable number.

4444144414444 is an abundant number, since it is smaller than the sum of its proper divisors (4468191288596).

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

4444144414444 is a wasteful number, since it uses less digits than its factorization.

4444144414444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154678 (or 154676 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 46.

The spelling of 4444144414444 in words is "four trillion, four hundred forty-four billion, one hundred forty-four million, four hundred fourteen thousand, four hundred forty-four".