41330121120 has 144 divisors (see below), whose sum is σ = 142435965672. Its totient is φ = 10912204800.

The previous prime is 41330121097. The next prime is 41330121121. The reversal of 41330121120 is 2112103314.

It can be written as a sum of positive squares in 4 ways, for example, as 38980974096 + 2349147024 = 197436^2 + 48468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 41330121093 and 41330121102.

It is not an unprimeable number, because it can be changed into a prime (41330121121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354 + ... + 287526.

Almost surely, 2^41330121120 is an apocalyptic number.

41330121120 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 41330121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71217982836).

41330121120 is an abundant number, since it is smaller than the sum of its proper divisors (101105844552).

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

41330121120 is a wasteful number, since it uses less digits than its factorization.

41330121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284295 (or 284284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 41330121120 its reverse (2112103314), we get a palindrome (43442224434).

The spelling of 41330121120 in words is "forty-one billion, three hundred thirty million, one hundred twenty-one thousand, one hundred twenty".