4136134680160 has 576 divisors, whose sum is σ = 12008732391936. Its totient is φ = 1340507750400.

The previous prime is 4136134680157. The next prime is 4136134680199. The reversal of 4136134680160 is 610864316314.

It is a super-2 number, since 2×4136134680160² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2327593192 + ... + 2327594968.

It is an arithmetic number, because the mean of its divisors is an integer number (20848493736).

Almost surely, 2^{4136134680160} is an apocalyptic number.

4136134680160 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 4136134680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004366195968).

4136134680160 is an abundant number, since it is smaller than the sum of its proper divisors (7872597711776).

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

4136134680160 is a wasteful number, since it uses less digits than its factorization.

4136134680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

Adding to 4136134680160 its reverse (610864316314), we get a palindrome (4746998996474).

The spelling of 4136134680160 in words is "four trillion, one hundred thirty-six billion, one hundred thirty-four million, six hundred eighty thousand, one hundred sixty".