410643663360 has 640 divisors, whose sum is σ = 1579938877440. Its totient is φ = 88955682816.

The previous prime is 410643663341. The next prime is 410643663361. The reversal of 410643663360 is 63366346014.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (410643663361) 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, 139720771 + ... + 139723709.

It is an arithmetic number, because the mean of its divisors is an integer number (2468654496).

Almost surely, 2^410643663360 is an apocalyptic number.

410643663360 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 410643663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789969438720).

410643663360 is an abundant number, since it is smaller than the sum of its proper divisors (1169295214080).

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

410643663360 is a wasteful number, since it uses less digits than its factorization.

410643663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 410643663360 in words is "four hundred ten billion, six hundred forty-three million, six hundred sixty-three thousand, three hundred sixty".