41191137900 has 288 divisors, whose sum is σ = 147988028160. Its totient is φ = 9741888000.

The previous prime is 41191137863. The next prime is 41191137907. The reversal of 41191137900 is 973119114.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41191137907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1200787 + ... + 1234613.

It is an arithmetic number, because the mean of its divisors is an integer number (513847320).

Almost surely, 2^41191137900 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 41191137900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73994014080).

41191137900 is an abundant number, since it is smaller than the sum of its proper divisors (106796890260).

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

41191137900 is a wasteful number, since it uses less digits than its factorization.

41191137900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33902 (or 33889 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

Adding to 41191137900 its sum of digits (36), we get a square (41191137936 = 202956²).

The spelling of 41191137900 in words is "forty-one billion, one hundred ninety-one million, one hundred thirty-seven thousand, nine hundred".