4124144113011 has 48 divisors (see below), whose sum is σ = 6538501831680. Its totient is φ = 2489658716160.

The previous prime is 4124144113009. The next prime is 4124144113039. The reversal of 4124144113011 is 1103114414214.

4124144113011 is a `hidden beast` number, since 4 + 1 + 241 + 4 + 411 + 3 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 4124144113011 - 2¹ = 4124144113009 is a prime.

It is a super-2 number, since 2×4124144113011² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4124144113091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236830 + ... + 2881731.

It is an arithmetic number, because the mean of its divisors is an integer number (136218788160).

Almost surely, 2^{4124144113011} is an apocalyptic number.

4124144113011 is a deficient number, since it is larger than the sum of its proper divisors (2414357718669).

4124144113011 is a wasteful number, since it uses less digits than its factorization.

4124144113011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118796 (or 3118793 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 4124144113011 its reverse (1103114414214), we get a palindrome (5227258527225).

The spelling of 4124144113011 in words is "four trillion, one hundred twenty-four billion, one hundred forty-four million, one hundred thirteen thousand, eleven".