4205842209792 has 352 divisors, whose sum is σ = 12775323724800. Its totient is φ = 1366054502400.

The previous prime is 4205842209781. The next prime is 4205842209809. The reversal of 4205842209792 is 2979022485024.

4205842209792 is a `hidden beast` number, since 4 + 205 + 8 + 422 + 0 + 9 + 7 + 9 + 2 = 666.

It is a super-3 number, since 3×4205842209792³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177775367 + ... + 1177778937.

Almost surely, 2^{4205842209792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4205842209792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387661862400).

4205842209792 is an abundant number, since it is smaller than the sum of its proper divisors (8569481515008).

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

4205842209792 is a wasteful number, since it uses less digits than its factorization.

4205842209792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4205842209792 in words is "four trillion, two hundred five billion, eight hundred forty-two million, two hundred nine thousand, seven hundred ninety-two".