4120133344344 has 128 divisors (see below), whose sum is σ = 11505943339200. Its totient is φ = 1366061875200.

The previous prime is 4120133344333. The next prime is 4120133344351. The reversal of 4120133344344 is 4434433310214.

4120133344344 is a `hidden beast` number, since 4 + 1 + 201 + 3 + 3 + 3 + 443 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4120133344299 and 4120133344308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30508072 + ... + 30642824.

Almost surely, 2^{4120133344344} 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 4120133344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752971669600).

4120133344344 is an abundant number, since it is smaller than the sum of its proper divisors (7385809994856).

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

4120133344344 is a wasteful number, since it uses less digits than its factorization.

4120133344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135522 (or 135512 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4120133344344 its reverse (4434433310214), we get a palindrome (8554566654558).

The spelling of 4120133344344 in words is "four trillion, one hundred twenty billion, one hundred thirty-three million, three hundred forty-four thousand, three hundred forty-four".