411200924288 has 256 divisors, whose sum is σ = 1128433213440. Its totient is φ = 144226959360.

The previous prime is 411200924257. The next prime is 411200924333. The reversal of 411200924288 is 882429002114.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3800345 + ... + 3907047.

It is an arithmetic number, because the mean of its divisors is an integer number (4407942240).

Almost surely, 2^411200924288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411200924288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564216606720).

411200924288 is an abundant number, since it is smaller than the sum of its proper divisors (717232289152).

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

411200924288 is a wasteful number, since it uses less digits than its factorization.

411200924288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106775 (or 106763 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 411200924288 in words is "four hundred eleven billion, two hundred million, nine hundred twenty-four thousand, two hundred eighty-eight".