409164663600 has 840 divisors, whose sum is σ = 1837631764992. Its totient is φ = 85016563200.

The previous prime is 409164663569. The next prime is 409164663613. The reversal of 409164663600 is 6366461904.

409164663600 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 6 + 4 + 6 + 636 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 22444089 + ... + 22462311.

Almost surely, 2^409164663600 is an apocalyptic number.

409164663600 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 409164663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918815882496).

409164663600 is an abundant number, since it is smaller than the sum of its proper divisors (1428467101392).

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

409164663600 is a wasteful number, since it uses less digits than its factorization.

409164663600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18277 (or 18251 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 409164663600 in words is "four hundred nine billion, one hundred sixty-four million, six hundred sixty-three thousand, six hundred".