41111131226112 has 384 divisors, whose sum is σ = 123525568857600. Its totient is φ = 13663300091904.

The previous prime is 41111131226107. The next prime is 41111131226149. The reversal of 41111131226112 is 21162213111114.

41111131226112 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 11 + 31 + 2 + 2 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×41111131226112² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (81) and by the product (331776) of the squares of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2763023089 + ... + 2763037967.

It is an arithmetic number, because the mean of its divisors is an integer number (321681168900).

Almost surely, 2^{41111131226112} 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 41111131226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61762784428800).

41111131226112 is an abundant number, since it is smaller than the sum of its proper divisors (82414437631488).

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

41111131226112 is an frugal number, since it uses more digits than its factorization.

41111131226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15271 (or 15231 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

Adding to 41111131226112 its reverse (21162213111114), we get a palindrome (62273344337226).

The spelling of 41111131226112 in words is "forty-one trillion, one hundred eleven billion, one hundred thirty-one million, two hundred twenty-six thousand, one hundred twelve".