411463610880 has 640 divisors, whose sum is σ = 1588518328320. Its totient is φ = 88756715520.

The previous prime is 411463610863. The next prime is 411463610927. The reversal of 411463610880 is 88016364114.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338096032 + ... + 338097248.

It is an arithmetic number, because the mean of its divisors is an integer number (2482059888).

Almost surely, 2^411463610880 is an apocalyptic number.

411463610880 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 411463610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794259164160).

411463610880 is an abundant number, since it is smaller than the sum of its proper divisors (1177054717440).

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

411463610880 is a wasteful number, since it uses less digits than its factorization.

411463610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

Adding to 411463610880 its reverse (88016364114), we get a palindrome (499479974994).

The spelling of 411463610880 in words is "four hundred eleven billion, four hundred sixty-three million, six hundred ten thousand, eight hundred eighty".