41100111400 has 96 divisors (see below), whose sum is σ = 98225197560. Its totient is φ = 15986647040.

The previous prime is 41100111391. The next prime is 41100111407. The reversal of 41100111400 is 411100114.

It can be written as a sum of positive squares in 12 ways, for example, as 164301124 + 40935810276 = 12818^2 + 202326^2 .

It is not an unprimeable number, because it can be changed into a prime (41100111407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180644 + ... + 1214956.

Almost surely, 2^41100111400 is an apocalyptic number.

41100111400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41100111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49112598780).

41100111400 is an abundant number, since it is smaller than the sum of its proper divisors (57125086160).

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

41100111400 is a wasteful number, since it uses less digits than its factorization.

41100111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34495 (or 34486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 41100111400 its reverse (411100114), we get a palindrome (41511211514).

The spelling of 41100111400 in words is "forty-one billion, one hundred million, one hundred eleven thousand, four hundred".