4135680790560 has 576 divisors, whose sum is σ = 16050202721280. Its totient is φ = 960629760000.

The previous prime is 4135680790559. The next prime is 4135680790663. The reversal of 4135680790560 is 650970865314.

4135680790560 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 6 + 8 + 0 + 79 + 0 + 560 = 666.

It is a super-2 number, since 2×4135680790560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4135680790497 and 4135680790506.

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 95 ways as a sum of consecutive naturals, for example, 49553346 + ... + 49636734.

It is an arithmetic number, because the mean of its divisors is an integer number (27864935280).

Almost surely, 2^{4135680790560} is an apocalyptic number.

4135680790560 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 4135680790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025101360640).

4135680790560 is an abundant number, since it is smaller than the sum of its proper divisors (11914521930720).

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

4135680790560 is a wasteful number, since it uses less digits than its factorization.

4135680790560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83553 (or 83542 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 4135680790560 in words is "four trillion, one hundred thirty-five billion, six hundred eighty million, seven hundred ninety thousand, five hundred sixty".