41130144000 has 432 divisors, whose sum is σ = 161465076864. Its totient is φ = 9970176000.

The previous prime is 41130143993. The next prime is 41130144001. The reversal of 41130144000 is 44103114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41130144001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3161509 + ... + 3174491.

It is an arithmetic number, because the mean of its divisors is an integer number (373761752).

Almost surely, 2^41130144000 is an apocalyptic number.

41130144000 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 41130144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80732538432).

41130144000 is an abundant number, since it is smaller than the sum of its proper divisors (120334932864).

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

41130144000 is a wasteful number, since it uses less digits than its factorization.

41130144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13031 (or 13004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41130144000 its reverse (44103114), we get a palindrome (41174247114).

The spelling of 41130144000 in words is "forty-one billion, one hundred thirty million, one hundred forty-four thousand".