4204842606720 has 448 divisors, whose sum is σ = 17224479973440. Its totient is φ = 961106135040.

The previous prime is 4204842606691. The next prime is 4204842606751. The reversal of 4204842606720 is 276062484024.

4204842606720 is a `hidden beast` number, since 42 + 0 + 484 + 2 + 60 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×4204842606720³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2622175 + ... + 3909665.

Almost surely, 2^{4204842606720} is an apocalyptic number.

4204842606720 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 4204842606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612239986720).

4204842606720 is an abundant number, since it is smaller than the sum of its proper divisors (13019637366720).

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

4204842606720 is an equidigital number, since it uses as much as digits as its factorization.

4204842606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287535 (or 1287508 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4204842606720 in words is "four trillion, two hundred four billion, eight hundred forty-two million, six hundred six thousand, seven hundred twenty".