411632217960 has 256 divisors, whose sum is σ = 1344198551040. Its totient is φ = 100420485120.

The previous prime is 411632217877. The next prime is 411632218021. The reversal of 411632217960 is 69712236114.

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 63 ways as a sum of consecutive naturals, for example, 102726277 + ... + 102730283.

It is an arithmetic number, because the mean of its divisors is an integer number (5250775590).

Almost surely, 2^411632217960 is an apocalyptic number.

411632217960 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 411632217960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672099275520).

411632217960 is an abundant number, since it is smaller than the sum of its proper divisors (932566333080).

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

411632217960 is a wasteful number, since it uses less digits than its factorization.

411632217960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 411632217960 in words is "four hundred eleven billion, six hundred thirty-two million, two hundred seventeen thousand, nine hundred sixty".