411102000201114 has 192 divisors, whose sum is σ = 945702838080000. Its totient is φ = 128705091056640.

The previous prime is 411102000201073. The next prime is 411102000201149.

411102000201114 is a `hidden beast` number, since 41 + 110 + 200 + 0 + 201 + 114 = 666.

411102000201114 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40466773167 + ... + 40466783325.

It is an arithmetic number, because the mean of its divisors is an integer number (4925535615000).

Almost surely, 2^{411102000201114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411102000201114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472851419040000).

411102000201114 is an abundant number, since it is smaller than the sum of its proper divisors (534600837878886).

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

411102000201114 is a wasteful number, since it uses less digits than its factorization.

411102000201114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12453 (or 12450 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 411102000 and 201114, that added together give a palindrome (411303114).

The spelling of 411102000201114 in words is "four hundred eleven trillion, one hundred two billion, two hundred one thousand, one hundred fourteen".