408244341888 has 192 divisors, whose sum is σ = 1188751707000. Its totient is φ = 134470877184.

The previous prime is 408244341881. The next prime is 408244341913. The reversal of 408244341888 is 888143442804.

408244341888 is a `hidden beast` number, since 4 + 0 + 8 + 24 + 434 + 188 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 273813585984 + 134430755904 = 523272^2 + 366648^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (408244341881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33808620 + ... + 33820692.

Almost surely, 2^408244341888 is an apocalyptic number.

408244341888 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 408244341888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594375853500).

408244341888 is an abundant number, since it is smaller than the sum of its proper divisors (780507365112).

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

408244341888 is a wasteful number, since it uses less digits than its factorization.

408244341888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12439 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 408244341888 in words is "four hundred eight billion, two hundred forty-four million, three hundred forty-one thousand, eight hundred eighty-eight".