4413432343144 has 48 divisors (see below), whose sum is σ = 9096137279460. Its totient is φ = 2006045606400.

The previous prime is 4413432343141. The next prime is 4413432343189.

4413432343144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4311179490244 + 102252852900 = 2076338^2 + 319770^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4413432343097 and 4413432343106.

It is not an unprimeable number, because it can be changed into a prime (4413432343141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56775984 + ... + 56853664.

Almost surely, 2^{4413432343144} is an apocalyptic number.

4413432343144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4413432343144 is an abundant number, since it is smaller than the sum of its proper divisors (4682704936316).

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

4413432343144 is a wasteful number, since it uses less digits than its factorization.

4413432343144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136402 (or 136387 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

The spelling of 4413432343144 in words is "four trillion, four hundred thirteen billion, four hundred thirty-two million, three hundred forty-three thousand, one hundred forty-four".