409638872160 has 384 divisors, whose sum is σ = 1724797670400. Its totient is φ = 88703631360.

The previous prime is 409638872143. The next prime is 409638872189. The reversal of 409638872160 is 61278836904.

409638872160 is a `hidden beast` number, since 40 + 9 + 6 + 388 + 7 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 409638872097 and 409638872106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218080 + ... + 931040.

It is an arithmetic number, because the mean of its divisors is an integer number (4491660600).

Almost surely, 2^409638872160 is an apocalyptic number.

409638872160 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 409638872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862398835200).

409638872160 is an abundant number, since it is smaller than the sum of its proper divisors (1315158798240).

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

409638872160 is a wasteful number, since it uses less digits than its factorization.

409638872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713011 (or 712997 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 409638872160 in words is "four hundred nine billion, six hundred thirty-eight million, eight hundred seventy-two thousand, one hundred sixty".