4090881600 has 567 divisors, whose sum is σ = 16137829929. Its totient is φ = 982425600.

The previous prime is 4090881577. The next prime is 4090881601. The reversal of 4090881600 is 61880904.

It is a happy number.

The square root of 4090881600 is 63960.

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

4090881600 is a `hidden beast` number, since 40 + 9 + 0 + 8 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3707348544 + 383533056 = 60888^2 + 19584^2 .

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 (4090881601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 99777580 + ... + 99777620.

Almost surely, 2^4090881600 is an apocalyptic number.

4090881600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4090881600 is the 63960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4090881600

4090881600 is an abundant number, since it is smaller than the sum of its proper divisors (12046948329).

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

4090881600 is a wasteful number, since it uses less digits than its factorization.

4090881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The cubic root of 4090881600 is about 1599.3332638696. Note that the first 3 decimals are identical.

Multiplying 4090881600 by its sum of digits (36), we get a square (147271737600 = 383760²).

4090881600 divided by its sum of digits (36) gives a square (113635600 = 10660²).

The spelling of 4090881600 in words is "four billion, ninety million, eight hundred eighty-one thousand, six hundred".