41101125840 has 320 divisors, whose sum is σ = 143683303680. Its totient is φ = 10797926400.

The previous prime is 41101125823. The next prime is 41101125851. The reversal of 41101125840 is 4852110114.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63920559 + ... + 63921201.

It is an arithmetic number, because the mean of its divisors is an integer number (449010324).

Almost surely, 2^41101125840 is an apocalyptic number.

41101125840 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 41101125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71841651840).

41101125840 is an abundant number, since it is smaller than the sum of its proper divisors (102582177840).

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

41101125840 is a wasteful number, since it uses less digits than its factorization.

41101125840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 41101125840 its reverse (4852110114), we get a palindrome (45953235954).

The spelling of 41101125840 in words is "forty-one billion, one hundred one million, one hundred twenty-five thousand, eight hundred forty".