408397921228800 has 1008 divisors, whose sum is σ = 1526974579559520. Its totient is φ = 108274885263360.

The previous prime is 408397921228783. The next prime is 408397921228831. The reversal of 408397921228800 is 8822129793804.

408397921228800 is a `hidden beast` number, since 4 + 0 + 8 + 397 + 9 + 212 + 28 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6457158777 + ... + 6457222023.

It is an arithmetic number, because the mean of its divisors is an integer number (1514855733690).

Almost surely, 2^{408397921228800} is an apocalyptic number.

408397921228800 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 408397921228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763487289779760).

408397921228800 is an abundant number, since it is smaller than the sum of its proper divisors (1118576658330720).

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

408397921228800 is an equidigital number, since it uses as much as digits as its factorization.

408397921228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63470 (or 63430 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 408397921228800 in words is "four hundred eight trillion, three hundred ninety-seven billion, nine hundred twenty-one million, two hundred twenty-eight thousand, eight hundred".