4124414444101 has 8 divisors (see below), whose sum is σ = 4809812763200. Its totient is φ = 3535212380364.

The previous prime is 4124414444077. The next prime is 4124414444159. The reversal of 4124414444101 is 1014444144214.

It is not a de Polignac number, because 4124414444101 - 2¹⁵ = 4124414411333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124414444191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6012265611 + ... + 6012266296.

It is an arithmetic number, because the mean of its divisors is an integer number (601226595400).

Almost surely, 2^{4124414444101} is an apocalyptic number.

It is an amenable number.

4124414444101 is a deficient number, since it is larger than the sum of its proper divisors (685398319099).

4124414444101 is an equidigital number, since it uses as much as digits as its factorization.

4124414444101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12024531928 (or 12024531914 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

Adding to 4124414444101 its reverse (1014444144214), we get a palindrome (5138858588315).

The spelling of 4124414444101 in words is "four trillion, one hundred twenty-four billion, four hundred fourteen million, four hundred forty-four thousand, one hundred one".