4111144412100 has 216 divisors, whose sum is σ = 13096181624064. Its totient is φ = 994993824000.

The previous prime is 4111144412099. The next prime is 4111144412107. The reversal of 4111144412100 is 12144411114.

It is not an unprimeable number, because it can be changed into a prime (4111144412107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21940810 + ... + 22127390.

Almost surely, 2^{4111144412100} 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 4111144412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548090812032).

4111144412100 is an abundant number, since it is smaller than the sum of its proper divisors (8985037211964).

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

4111144412100 is a wasteful number, since it uses less digits than its factorization.

4111144412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187227 (or 187209 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 4111144412100 its reverse (12144411114), we get a palindrome (4123288823214).

The spelling of 4111144412100 in words is "four trillion, one hundred eleven billion, one hundred forty-four million, four hundred twelve thousand, one hundred".