4136574242124 has 288 divisors, whose sum is σ = 11590529932800. Its totient is φ = 1286171550720.

The previous prime is 4136574242107. The next prime is 4136574242137. The reversal of 4136574242124 is 4212424756314.

4136574242124 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 5 + 7 + 424 + 212 + 4 = 666.

4136574242124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4136574242124² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4136574242124.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1281068142 + ... + 1281071370.

It is an arithmetic number, because the mean of its divisors is an integer number (40244895600).

Almost surely, 2^{4136574242124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4136574242124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795264966400).

4136574242124 is an abundant number, since it is smaller than the sum of its proper divisors (7453955690676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4136574242124 is a wasteful number, since it uses less digits than its factorization.

4136574242124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4301 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

Adding to 4136574242124 its reverse (4212424756314), we get a palindrome (8348998998438).

The spelling of 4136574242124 in words is "four trillion, one hundred thirty-six billion, five hundred seventy-four million, two hundred forty-two thousand, one hundred twenty-four".