411381866880 has 640 divisors, whose sum is σ = 1513148947200. Its totient is φ = 106448670720.

The previous prime is 411381866879. The next prime is 411381866947. The reversal of 411381866880 is 88668183114.

It is a happy number.

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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 399011965 + ... + 399012995.

It is an arithmetic number, because the mean of its divisors is an integer number (2364295230).

Almost surely, 2^411381866880 is an apocalyptic number.

411381866880 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 411381866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756574473600).

411381866880 is an abundant number, since it is smaller than the sum of its proper divisors (1101767080320).

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

411381866880 is a wasteful number, since it uses less digits than its factorization.

411381866880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 411381866880 in words is "four hundred eleven billion, three hundred eighty-one million, eight hundred sixty-six thousand, eight hundred eighty".