408665005056000 has 6048 divisors, whose sum is σ = 1960607708500896. Its totient is φ = 84610842624000.

The previous prime is 408665005055963. The next prime is 408665005056019. The reversal of 408665005056000 is 650500566804.

It is a happy number.

408665005056000 is a `hidden beast` number, since 4 + 0 + 86 + 6 + 5 + 0 + 0 + 5 + 0 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1475324927862 + ... + 1475324928138.

It is an arithmetic number, because the mean of its divisors is an integer number (324174554977).

Almost surely, 2^{408665005056000} is an apocalyptic number.

408665005056000 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 408665005056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980303854250448).

408665005056000 is an abundant number, since it is smaller than the sum of its proper divisors (1551942703444896).

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

408665005056000 is an equidigital number, since it uses as much as digits as its factorization.

408665005056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 408665005056000 in words is "four hundred eight trillion, six hundred sixty-five billion, five million, fifty-six thousand".