409328316000 has 480 divisors, whose sum is σ = 1505055359808. Its totient is φ = 108959385600.

The previous prime is 409328315941. The next prime is 409328316011. The reversal of 409328316000 is 613823904.

409328316000 is a `hidden beast` number, since 40 + 9 + 3 + 2 + 8 + 3 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 334691389 + ... + 334692611.

Almost surely, 2^409328316000 is an apocalyptic number.

409328316000 is a gapful number since it is divisible by the number (40) 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 409328316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752527679904).

409328316000 is an abundant number, since it is smaller than the sum of its proper divisors (1095727043808).

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

409328316000 is a wasteful number, since it uses less digits than its factorization.

409328316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 409328316000 in words is "four hundred nine billion, three hundred twenty-eight million, three hundred sixteen thousand".