409353108768 has 72 divisors (see below), whose sum is σ = 1166528563200. Its totient is φ = 136166123904.

The previous prime is 409353108757. The next prime is 409353108799. The reversal of 409353108768 is 867801353904.

409353108768 is a `hidden beast` number, since 40 + 9 + 3 + 531 + 0 + 8 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1345728 + ... + 1621631.

It is an arithmetic number, because the mean of its divisors is an integer number (16201785600).

Almost surely, 2^409353108768 is an apocalyptic number.

409353108768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409353108768 is an abundant number, since it is smaller than the sum of its proper divisors (757175454432).

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

409353108768 is a wasteful number, since it uses less digits than its factorization.

409353108768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967854 (or 2967843 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 409353108768 in words is "four hundred nine billion, three hundred fifty-three million, one hundred eight thousand, seven hundred sixty-eight".