41330505348 has 288 divisors, whose sum is σ = 121022254080. Its totient is φ = 11778048000.

The previous prime is 41330505341. The next prime is 41330505353. The reversal of 41330505348 is 84350503314.

41330505348 is a `hidden beast` number, since 4 + 1 + 3 + 305 + 0 + 5 + 348 = 666.

It is a super-2 number, since 2×41330505348² (a number of 22 digits) contains 22 as substring.

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 (41330505341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72636808 + ... + 72637376.

It is an arithmetic number, because the mean of its divisors is an integer number (420216160).

Almost surely, 2^41330505348 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 41330505348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60511127040).

41330505348 is an abundant number, since it is smaller than the sum of its proper divisors (79691748732).

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

41330505348 is a wasteful number, since it uses less digits than its factorization.

41330505348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 41330505348 in words is "forty-one billion, three hundred thirty million, five hundred five thousand, three hundred forty-eight".