4414306034144 has 48 divisors (see below), whose sum is σ = 9202191591600. Its totient is φ = 2077250279424.

The previous prime is 4414306034113. The next prime is 4414306034189.

4414306034144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4414306034098 and 4414306034107.

It is a congruent number.

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, 18233762 + ... + 18474270.

It is an arithmetic number, because the mean of its divisors is an integer number (191712324825).

Almost surely, 2^{4414306034144} is an apocalyptic number.

It is an amenable number.

4414306034144 is an abundant number, since it is smaller than the sum of its proper divisors (4787885557456).

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

4414306034144 is a wasteful number, since it uses less digits than its factorization.

4414306034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274275 (or 274267 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 4414306034144 in words is "four trillion, four hundred fourteen billion, three hundred six million, thirty-four thousand, one hundred forty-four".