408044896256 has 136 divisors (see below), whose sum is σ = 864030517680. Its totient is φ = 192367558656.

The previous prime is 408044896187. The next prime is 408044896289. The reversal of 408044896256 is 652698440804.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81720896 + ... + 81725888.

Almost surely, 2^408044896256 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 408044896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432015258840).

408044896256 is an abundant number, since it is smaller than the sum of its proper divisors (455985621424).

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

408044896256 is an frugal number, since it uses more digits than its factorization.

408044896256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 408044896256 in words is "four hundred eight billion, forty-four million, eight hundred ninety-six thousand, two hundred fifty-six".