411130412100 has 288 divisors, whose sum is σ = 1350607305600. Its totient is φ = 108603970560.

The previous prime is 411130412089. The next prime is 411130412123. The reversal of 411130412100 is 1214031114.

411130412100 is a `hidden beast` number, since 41 + 113 + 0 + 412 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23392116 + ... + 23409684.

It is an arithmetic number, because the mean of its divisors is an integer number (4689608700).

Almost surely, 2^411130412100 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 411130412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675303652800).

411130412100 is an abundant number, since it is smaller than the sum of its proper divisors (939476893500).

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

411130412100 is a wasteful number, since it uses less digits than its factorization.

411130412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17711 (or 17686 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 411130412100 its reverse (1214031114), we get a palindrome (412344443214).

The spelling of 411130412100 in words is "four hundred eleven billion, one hundred thirty million, four hundred twelve thousand, one hundred".