411466561228800 has 5616 divisors, whose sum is σ = 1986126899492736. Its totient is φ = 79413903360000.

The previous prime is 411466561228777. The next prime is 411466561228907. The reversal of 411466561228800 is 8822165664114.

411466561228800 is a `hidden beast` number, since 4 + 1 + 1 + 466 + 56 + 122 + 8 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1340281958247 + ... + 1340281958553.

It is an arithmetic number, because the mean of its divisors is an integer number (353655074696).

Almost surely, 2^{411466561228800} is an apocalyptic number.

411466561228800 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 411466561228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993063449746368).

411466561228800 is an abundant number, since it is smaller than the sum of its proper divisors (1574660338263936).

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

411466561228800 is a wasteful number, since it uses less digits than its factorization.

411466561228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 411466561228800 in words is "four hundred eleven trillion, four hundred sixty-six billion, five hundred sixty-one million, two hundred twenty-eight thousand, eight hundred".