4042431232101 has 20 divisors (see below), whose sum is σ = 6043575443532. Its totient is φ = 2692775467008.

The previous prime is 4042431232061. The next prime is 4042431232199. The reversal of 4042431232101 is 1012321342404.

4042431232101 is a `hidden beast` number, since 4 + 0 + 4 + 24 + 312 + 321 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3159346277025 + 883084955076 = 1777455^2 + 939726^2 .

It is not a de Polignac number, because 4042431232101 - 2¹¹ = 4042431230053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042431232901) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20072220 + ... + 20272613.

Almost surely, 2^{4042431232101} is an apocalyptic number.

It is an amenable number.

4042431232101 is a deficient number, since it is larger than the sum of its proper divisors (2001144211431).

4042431232101 is a wasteful number, since it uses less digits than its factorization.

4042431232101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40346082 (or 40346073 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4042431232101 its reverse (1012321342404), we get a palindrome (5054752574505).

The spelling of 4042431232101 in words is "four trillion, forty-two billion, four hundred thirty-one million, two hundred thirty-two thousand, one hundred one".