409616550000 has 720 divisors, whose sum is σ = 1653957264960. Its totient is φ = 92689920000.

The previous prime is 409616549987. The next prime is 409616550073. The reversal of 409616550000 is 55616904.

409616550000 is a `hidden beast` number, since 4 + 0 + 96 + 1 + 65 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 343349404 + ... + 343350596.

It is an arithmetic number, because the mean of its divisors is an integer number (2297162868).

Almost surely, 2^409616550000 is an apocalyptic number.

409616550000 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 409616550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826978632480).

409616550000 is an abundant number, since it is smaller than the sum of its proper divisors (1244340714960).

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

409616550000 is a wasteful number, since it uses less digits than its factorization.

409616550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 409616550000 in words is "four hundred nine billion, six hundred sixteen million, five hundred fifty thousand".