4038210820900 has 81 divisors (see below), whose sum is σ = 8853358194513. Its totient is φ = 1598782068000.

The previous prime is 4038210820879. The next prime is 4038210820901. The reversal of 4038210820900 is 90280128304.

The square root of 4038210820900 is 2009530.

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

It can be written as a sum of positive squares in only one way, i.e., 1453755895524 + 2584454925376 = 1205718^2 + 1607624^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4038210820900.

It is not an unprimeable number, because it can be changed into a prime (4038210820901) 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, 2069814925 + ... + 2069816875.

Almost surely, 2^{4038210820900} is an apocalyptic number.

4038210820900 is the 2009530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4038210820900

4038210820900 is an abundant number, since it is smaller than the sum of its proper divisors (4815147373613).

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

4038210820900 is an equidigital number, since it uses as much as digits as its factorization.

4038210820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 4038210820900 in words is "four trillion, thirty-eight billion, two hundred ten million, eight hundred twenty thousand, nine hundred".