409983549560 has 128 divisors (see below), whose sum is σ = 1037392272000. Its totient is φ = 144688152576.

The previous prime is 409983549557. The next prime is 409983549581. The reversal of 409983549560 is 65945389904.

It is a junction number, because it is equal to n+sod(n) for n = 409983549493 and 409983549502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16839476 + ... + 16863804.

It is an arithmetic number, because the mean of its divisors is an integer number (8104627125).

Almost surely, 2^409983549560 is an apocalyptic number.

409983549560 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 409983549560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518696136000).

409983549560 is an abundant number, since it is smaller than the sum of its proper divisors (627408722440).

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

409983549560 is a wasteful number, since it uses less digits than its factorization.

409983549560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25785 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 62.

The spelling of 409983549560 in words is "four hundred nine billion, nine hundred eighty-three million, five hundred forty-nine thousand, five hundred sixty".