409188547272960 has 6048 divisors, whose sum is σ = 1912080202324992. Its totient is φ = 83072463667200.

The previous prime is 409188547272929. The next prime is 409188547273003. The reversal of 409188547272960 is 69272745881904.

It is a happy number.

409188547272960 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 8 + 8 + 547 + 2 + 72 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 2709857928885 + ... + 2709857929035.

It is an arithmetic number, because the mean of its divisors is an integer number (316150827104).

Almost surely, 2^{409188547272960} is an apocalyptic number.

409188547272960 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 409188547272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956040101162496).

409188547272960 is an abundant number, since it is smaller than the sum of its proper divisors (1502891655052032).

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

409188547272960 is a wasteful number, since it uses less digits than its factorization.

409188547272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 409188547272960 in words is "four hundred nine trillion, one hundred eighty-eight billion, five hundred forty-seven million, two hundred seventy-two thousand, nine hundred sixty".