4122136809680 has 40 divisors (see below), whose sum is σ = 9590387629032. Its totient is φ = 1647750285824.

The previous prime is 4122136809649. The next prime is 4122136809737. The reversal of 4122136809680 is 869086312214.

It can be written as a sum of positive squares in 4 ways, for example, as 612569198224 + 3509567611456 = 782668^2 + 1873384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17136659 + ... + 17375538.

Almost surely, 2^{4122136809680} is an apocalyptic number.

4122136809680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122136809680 is an abundant number, since it is smaller than the sum of its proper divisors (5468250819352).

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

4122136809680 is a wasteful number, since it uses less digits than its factorization.

4122136809680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34513703 (or 34513697 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 4122136809680 in words is "four trillion, one hundred twenty-two billion, one hundred thirty-six million, eight hundred nine thousand, six hundred eighty".