4042334430101 has 16 divisors (see below), whose sum is σ = 4479733290048. Its totient is φ = 3616688275200.

The previous prime is 4042334430061. The next prime is 4042334430103. The reversal of 4042334430101 is 1010344332404.

It is a happy number.

It is not a de Polignac number, because 4042334430101 - 2¹⁴ = 4042334413717 is a prime.

It is a super-3 number, since 3×4042334430101³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042334430103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1703540 + ... + 3314621.

It is an arithmetic number, because the mean of its divisors is an integer number (279983330628).

Almost surely, 2^{4042334430101} is an apocalyptic number.

It is an amenable number.

4042334430101 is a deficient number, since it is larger than the sum of its proper divisors (437398859947).

4042334430101 is a wasteful number, since it uses less digits than its factorization.

4042334430101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019332.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 4042334430101 its reverse (1010344332404), we get a palindrome (5052678762505).

The spelling of 4042334430101 in words is "four trillion, forty-two billion, three hundred thirty-four million, four hundred thirty thousand, one hundred one".