409665600000 has 1200 divisors, whose sum is σ = 1595538113400. Its totient is φ = 104509440000.

The previous prime is 409665599983. The next prime is 409665600037. The reversal of 409665600000 is 6566904.

It is a happy number.

409665600000 is a `hidden beast` number, since 4 + 0 + 96 + 6 + 560 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 143756239104 + 265909360896 = 379152^2 + 515664^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3758399946 + ... + 3758400054.

Almost surely, 2^409665600000 is an apocalyptic number.

409665600000 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 409665600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797769056700).

409665600000 is an abundant number, since it is smaller than the sum of its proper divisors (1185872513400).

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

409665600000 is an frugal number, since it uses more digits than its factorization.

409665600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 409665600000 in words is "four hundred nine billion, six hundred sixty-five million, six hundred thousand".