4183620252100 has 81 divisors (see below), whose sum is σ = 9491400254343. Its totient is φ = 1600509493440.

The previous prime is 4183620252089. The next prime is 4183620252107. The reversal of 4183620252100 is 12520263814.

The square root of 4183620252100 is 2045390.

It is a perfect power (a square), and thus also a powerful number.

4183620252100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1143535087044 + 3040085165056 = 1069362^2 + 1743584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4183620252107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 470435254 + ... + 470444146.

Almost surely, 2^{4183620252100} is an apocalyptic number.

4183620252100 is the 2045390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4183620252100

4183620252100 is an abundant number, since it is smaller than the sum of its proper divisors (5307780002243).

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

4183620252100 is an frugal number, since it uses more digits than its factorization.

4183620252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17846 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 4183620252100 in words is "four trillion, one hundred eighty-three billion, six hundred twenty million, two hundred fifty-two thousand, one hundred".