4120805536200 has 576 divisors, whose sum is σ = 14449815666000. Its totient is φ = 1051504312320.

The previous prime is 4120805536153. The next prime is 4120805536201. The reversal of 4120805536200 is 26355080214.

4120805536200 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 80 + 553 + 6 + 20 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 59814756 + 4120745721444 = 7734^2 + 2029962^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4120805536201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1167696036 + ... + 1167699564.

Almost surely, 2^{4120805536200} is an apocalyptic number.

4120805536200 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 4120805536200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224907833000).

4120805536200 is an abundant number, since it is smaller than the sum of its proper divisors (10329010129800).

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

4120805536200 is a wasteful number, since it uses less digits than its factorization.

4120805536200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 4120805536200 in words is "four trillion, one hundred twenty billion, eight hundred five million, five hundred thirty-six thousand, two hundred".