4120042344 has 128 divisors (see below), whose sum is σ = 12122628480. Its totient is φ = 1152819200.

The previous prime is 4120042331. The next prime is 4120042351. The reversal of 4120042344 is 4432400214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229204 + ... + 246524.

It is an arithmetic number, because the mean of its divisors is an integer number (94708035).

Almost surely, 2^4120042344 is an apocalyptic number.

4120042344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061314240).

4120042344 is an abundant number, since it is smaller than the sum of its proper divisors (8002586136).

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

4120042344 is a wasteful number, since it uses less digits than its factorization.

4120042344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17411 (or 17407 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4120042344 is about 64187.5559902385. Note that the first 3 decimals coincide. The cubic root of 4120042344 is about 1603.1244083655.

Adding to 4120042344 its reverse (4432400214), we get a palindrome (8552442558).

The spelling of 4120042344 in words is "four billion, one hundred twenty million, forty-two thousand, three hundred forty-four".