4084723944900 has 81 divisors (see below), whose sum is σ = 12803530326951. Its totient is φ = 1089243550080.

The previous prime is 4084723944893. The next prime is 4084723944929. The reversal of 4084723944900 is 94493274804.

The square root of 4084723944900 is 2021070.

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

4084723944900 is a `hidden beast` number, since 4 + 0 + 8 + 47 + 23 + 94 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2463135635844 + 1621588309056 = 1569438^2 + 1273416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60598416 + ... + 60665784.

Almost surely, 2^{4084723944900} is an apocalyptic number.

4084723944900 is the 2021070-th square number.

It is an amenable number.

4084723944900 is an abundant number, since it is smaller than the sum of its proper divisors (8718806382051).

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

4084723944900 is an frugal number, since it uses more digits than its factorization.

4084723944900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134758 (or 67379 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4084723944900 in words is "four trillion, eighty-four billion, seven hundred twenty-three million, nine hundred forty-four thousand, nine hundred".