4042120313 has 48 divisors (see below), whose sum is σ = 5221601280. Its totient is φ = 3061618560.

The previous prime is 4042120309. The next prime is 4042120319. The reversal of 4042120313 is 3130212404.

It is not a de Polignac number, because 4042120313 - 2² = 4042120309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4042120319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5700803 + ... + 5701511.

It is an arithmetic number, because the mean of its divisors is an integer number (108783360).

Almost surely, 2^4042120313 is an apocalyptic number.

It is an amenable number.

4042120313 is a deficient number, since it is larger than the sum of its proper divisors (1179480967).

4042120313 is a wasteful number, since it uses less digits than its factorization.

4042120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4042120313 is about 63577.6714971538. The cubic root of 4042120313 is about 1592.9534274486.

Adding to 4042120313 its reverse (3130212404), we get a palindrome (7172332717).

The spelling of 4042120313 in words is "four billion, forty-two million, one hundred twenty thousand, three hundred thirteen".