408394105986048 has 1056 divisors, whose sum is σ = 1378538138170368. Its totient is φ = 106534807142400.

The previous prime is 408394105985977. The next prime is 408394105986077. The reversal of 408394105986048 is 840689501493804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190749231058 + ... + 190749233198.

Almost surely, 2^{408394105986048} is an apocalyptic number.

408394105986048 is a gapful number since it is divisible by the number (48) 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 408394105986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689269069085184).

408394105986048 is an abundant number, since it is smaller than the sum of its proper divisors (970144032184320).

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

408394105986048 is a wasteful number, since it uses less digits than its factorization.

408394105986048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 69.

The spelling of 408394105986048 in words is "four hundred eight trillion, three hundred ninety-four billion, one hundred five million, nine hundred eighty-six thousand, forty-eight".