411201288900 has 216 divisors, whose sum is σ = 1369409539680. Its totient is φ = 102911109120.

The previous prime is 411201288857. The next prime is 411201288923. The reversal of 411201288900 is 9882102114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1717332 + ... + 1942068.

It is an arithmetic number, because the mean of its divisors is an integer number (6339858980).

Almost surely, 2^411201288900 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 411201288900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684704769840).

411201288900 is an abundant number, since it is smaller than the sum of its proper divisors (958208250780).

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

411201288900 is a wasteful number, since it uses less digits than its factorization.

411201288900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224883 (or 224873 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 411201288900 in words is "four hundred eleven billion, two hundred one million, two hundred eighty-eight thousand, nine hundred".