410660961984 has 336 divisors, whose sum is σ = 1484063031360. Its totient is φ = 105664020480.

The previous prime is 410660961973. The next prime is 410660962013. The reversal of 410660961984 is 489169066014.

It is a happy number.

410660961984 is a `hidden beast` number, since 4 + 10 + 6 + 6 + 0 + 9 + 619 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 410660961984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053512 + ... + 2244600.

It is an arithmetic number, because the mean of its divisors is an integer number (4416854260).

Almost surely, 2^410660961984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410660961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742031515680).

410660961984 is an abundant number, since it is smaller than the sum of its proper divisors (1073402069376).

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

410660961984 is a wasteful number, since it uses less digits than its factorization.

410660961984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191168 (or 191155 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 410660961984 in words is "four hundred ten billion, six hundred sixty million, nine hundred sixty-one thousand, nine hundred eighty-four".