4413314133144 has 48 divisors (see below), whose sum is σ = 13660258032720. Its totient is φ = 1260946895040.

The previous prime is 4413314133131. The next prime is 4413314133167.

4413314133144 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 314 + 1 + 331 + 4 + 4 = 666.

4413314133144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 4413314133099 and 4413314133108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4378287327 + ... + 4378288334.

It is an arithmetic number, because the mean of its divisors is an integer number (284588709015).

Almost surely, 2^{4413314133144} is an apocalyptic number.

It is an amenable number.

4413314133144 is an abundant number, since it is smaller than the sum of its proper divisors (9246943899576).

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

4413314133144 is a wasteful number, since it uses less digits than its factorization.

4413314133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8756575680 (or 8756575673 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 4413314133144 in words is "four trillion, four hundred thirteen billion, three hundred fourteen million, one hundred thirty-three thousand, one hundred forty-four".