4802409273600 has 729 divisors, whose sum is σ = 17993987108643. Its totient is φ = 1221876817920.

The previous prime is 4802409273581. The next prime is 4802409273617. The reversal of 4802409273600 is 63729042084.

The square root of 4802409273600 is 2191440.

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

4802409273600 is a `hidden beast` number, since 4 + 80 + 240 + 9 + 273 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4837480704 + 4797571792896 = 69552^2 + 2190336^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 12096748602 + ... + 12096748998.

Almost surely, 2^{4802409273600} is an apocalyptic number.

4802409273600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4802409273600 is the 2191440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4802409273600

4802409273600 is an abundant number, since it is smaller than the sum of its proper divisors (13191577835043).

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

4802409273600 is an equidigital number, since it uses as much as digits as its factorization.

4802409273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

It can be divided in two parts, 4802409 and 273600, that added together give a square (5076009 = 2253²).

The spelling of 4802409273600 in words is "four trillion, eight hundred two billion, four hundred nine million, two hundred seventy-three thousand, six hundred".