411358448160 has 2304 divisors, whose sum is σ = 1825988935680. Its totient is φ = 86220288000.

The previous prime is 411358448159. The next prime is 411358448167. The reversal of 411358448160 is 61844853114.

411358448160 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 584 + 4 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (411358448167) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5793780925 + ... + 5793780995.

It is an arithmetic number, because the mean of its divisors is an integer number (792529920).

Almost surely, 2^411358448160 is an apocalyptic number.

411358448160 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 411358448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912994467840).

411358448160 is an abundant number, since it is smaller than the sum of its proper divisors (1414630487520).

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

411358448160 is a wasteful number, since it uses less digits than its factorization.

411358448160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 411358448160 in words is "four hundred eleven billion, three hundred fifty-eight million, four hundred forty-eight thousand, one hundred sixty".