409550561280 has 1344 divisors, whose sum is σ = 1717462656000. Its totient is φ = 90172293120.

The previous prime is 409550561269. The next prime is 409550561297. The reversal of 409550561280 is 82165055904.

409550561280 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 5 + 0 + 561 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 5184184281 + ... + 5184184359.

It is an arithmetic number, because the mean of its divisors is an integer number (1277874000).

Almost surely, 2^409550561280 is an apocalyptic number.

409550561280 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 409550561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858731328000).

409550561280 is an abundant number, since it is smaller than the sum of its proper divisors (1307912094720).

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

409550561280 is an equidigital number, since it uses as much as digits as its factorization.

409550561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 409550561280 in words is "four hundred nine billion, five hundred fifty million, five hundred sixty-one thousand, two hundred eighty".