408216078784512 has 3456 divisors, whose sum is σ = 1457884545062400. Its totient is φ = 113389039779840.

The previous prime is 408216078784487. The next prime is 408216078784559. The reversal of 408216078784512 is 215487870612804.

408216078784512 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 1 + 607 + 8 + 7 + 8 + 4 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a self number, because there is not a number n which added to its sum of digits gives 408216078784512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6918916589539 + ... + 6918916589597.

It is an arithmetic number, because the mean of its divisors is an integer number (421841592900).

Almost surely, 2^{408216078784512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408216078784512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728942272531200).

408216078784512 is an abundant number, since it is smaller than the sum of its proper divisors (1049668466277888).

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

408216078784512 is a wasteful number, since it uses less digits than its factorization.

408216078784512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 408216078784512 in words is "four hundred eight trillion, two hundred sixteen billion, seventy-eight million, seven hundred eighty-four thousand, five hundred twelve".