410961164544 has 576 divisors, whose sum is σ = 1480313856000. Its totient is φ = 111217453056.

The previous prime is 410961164543. The next prime is 410961164623. The reversal of 410961164544 is 445461169014.

410961164544 is a `hidden beast` number, since 4 + 1 + 0 + 96 + 1 + 16 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 410961164544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410961164543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74460217 + ... + 74465735.

Almost surely, 2^410961164544 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 410961164544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740156928000).

410961164544 is an abundant number, since it is smaller than the sum of its proper divisors (1069352691456).

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

410961164544 is an frugal number, since it uses more digits than its factorization.

410961164544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 410961164544 in words is "four hundred ten billion, nine hundred sixty-one million, one hundred sixty-four thousand, five hundred forty-four".