4053600800 has 54 divisors (see below), whose sum is σ = 9900251109. Its totient is φ = 1620720000.

The previous prime is 4053600797. The next prime is 4053600821. The reversal of 4053600800 is 80063504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3972528784 + 81072016 = 63028^2 + 9004^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=45020.

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 4053600800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1799675 + ... + 1801925.

Almost surely, 2^4053600800 is an apocalyptic number.

4053600800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4053600800 is an abundant number, since it is smaller than the sum of its proper divisors (5846650309).

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

4053600800 is an frugal number, since it uses more digits than its factorization.

4053600800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4053600800 is about 63667.8945780367. The cubic root of 4053600800 is about 1594.4601114936.

Subtracting from 4053600800 its reverse (80063504), we obtain a square (3973537296 = 63036²).

The spelling of 4053600800 in words is "four billion, fifty-three million, six hundred thousand, eight hundred".