41140145200 has 720 divisors, whose sum is σ = 134725127040. Its totient is φ = 12001651200.

The previous prime is 41140145183. The next prime is 41140145201. The reversal of 41140145200 is 254104114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (41140145201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 495664359 + ... + 495664441.

It is an arithmetic number, because the mean of its divisors is an integer number (187118232).

Almost surely, 2^41140145200 is an apocalyptic number.

41140145200 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 41140145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67362563520).

41140145200 is an abundant number, since it is smaller than the sum of its proper divisors (93584981840).

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

41140145200 is a wasteful number, since it uses less digits than its factorization.

41140145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 41140145200 its reverse (254104114), we get a palindrome (41394249314).

The spelling of 41140145200 in words is "forty-one billion, one hundred forty million, one hundred forty-five thousand, two hundred".