4205204720000 has 160 divisors (see below), whose sum is σ = 10487841660120. Its totient is φ = 1678989312000.

The previous prime is 4205204719981. The next prime is 4205204720023. The reversal of 4205204720000 is 274025024.

4205204720000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×4205204720000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43711952 + ... + 43808048.

Almost surely, 2^{4205204720000} is an apocalyptic number.

4205204720000 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 4205204720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243920830060).

4205204720000 is an abundant number, since it is smaller than the sum of its proper divisors (6282636940120).

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

4205204720000 is an frugal number, since it uses more digits than its factorization.

4205204720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96678 (or 96651 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

Adding to 4205204720000 its reverse (274025024), we get a palindrome (4205478745024).

The spelling of 4205204720000 in words is "four trillion, two hundred five billion, two hundred four million, seven hundred twenty thousand".