41330241000 has 288 divisors, whose sum is σ = 146050861320. Its totient is φ = 10540992000.

The previous prime is 41330240989. The next prime is 41330241037. The reversal of 41330241000 is 14203314.

It can be written as a sum of positive squares in 4 ways, for example, as 19158435396 + 22171805604 = 138414^2 + 148902^2 .

It is a super-2 number, since 2×41330241000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4756660 + ... + 4765340.

Almost surely, 2^41330241000 is an apocalyptic number.

41330241000 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 41330241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73025430660).

41330241000 is an abundant number, since it is smaller than the sum of its proper divisors (104720620320).

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

41330241000 is a wasteful number, since it uses less digits than its factorization.

41330241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8754 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 41330241000 its reverse (14203314), we get a palindrome (41344444314).

The spelling of 41330241000 in words is "forty-one billion, three hundred thirty million, two hundred forty-one thousand".