4140003304101 has 192 divisors, whose sum is σ = 6820283289600. Its totient is φ = 2224820473344.

The previous prime is 4140003304081. The next prime is 4140003304147. The reversal of 4140003304101 is 1014033000414.

It is not a de Polignac number, because 4140003304101 - 2⁵ = 4140003304069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140003304181) 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 191 ways as a sum of consecutive naturals, for example, 5602169190 + ... + 5602169928.

It is an arithmetic number, because the mean of its divisors is an integer number (35522308800).

Almost surely, 2^{4140003304101} is an apocalyptic number.

It is an amenable number.

4140003304101 is a deficient number, since it is larger than the sum of its proper divisors (2680279985499).

4140003304101 is a wasteful number, since it uses less digits than its factorization.

4140003304101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 4140003304101 its reverse (1014033000414), we get a palindrome (5154036304515).

The spelling of 4140003304101 in words is "four trillion, one hundred forty billion, three million, three hundred four thousand, one hundred one".