411908328960 has 320 divisors, whose sum is σ = 1338776169984. Its totient is φ = 108018892800.

The previous prime is 411908328911. The next prime is 411908328967. The reversal of 411908328960 is 69823809114.

411908328960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411908328967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298267470 + ... + 298268850.

Almost surely, 2^411908328960 is an apocalyptic number.

411908328960 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 411908328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669388084992).

411908328960 is an abundant number, since it is smaller than the sum of its proper divisors (926867841024).

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

411908328960 is a wasteful number, since it uses less digits than its factorization.

411908328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 411908328960 in words is "four hundred eleven billion, nine hundred eight million, three hundred twenty-eight thousand, nine hundred sixty".