4209796085760 has 288 divisors, whose sum is σ = 15358318794000. Its totient is φ = 1063526989824.

The previous prime is 4209796085749. The next prime is 4209796085767. The reversal of 4209796085760 is 675806979024.

4209796085760 is a `hidden beast` number, since 420 + 9 + 7 + 9 + 60 + 85 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4209796085767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548956 + ... + 2953124.

Almost surely, 2^{4209796085760} is an apocalyptic number.

4209796085760 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 4209796085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679159397000).

4209796085760 is an abundant number, since it is smaller than the sum of its proper divisors (11148522708240).

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

4209796085760 is a wasteful number, since it uses less digits than its factorization.

4209796085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404221 (or 2404198 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4209796085760 in words is "four trillion, two hundred nine billion, seven hundred ninety-six million, eighty-five thousand, seven hundred sixty".