4136243261600 has 144 divisors (see below), whose sum is σ = 10148241955320. Its totient is φ = 1646218444800.

The previous prime is 4136243261599. The next prime is 4136243261609. The reversal of 4136243261600 is 61623426314.

It can be written as a sum of positive squares in 12 ways, for example, as 1651975525264 + 2484267736336 = 1285292^2 + 1576156^2 .

It is not an unprimeable number, because it can be changed into a prime (4136243261609) 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 23 ways as a sum of consecutive naturals, for example, 150236636 + ... + 150264164.

Almost surely, 2^{4136243261600} is an apocalyptic number.

4136243261600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4136243261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074120977660).

4136243261600 is an abundant number, since it is smaller than the sum of its proper divisors (6011998693720).

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

4136243261600 is a wasteful number, since it uses less digits than its factorization.

4136243261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28483 (or 28470 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

Adding to 4136243261600 its reverse (61623426314), we get a palindrome (4197866687914).

The spelling of 4136243261600 in words is "four trillion, one hundred thirty-six billion, two hundred forty-three million, two hundred sixty-one thousand, six hundred".