41307107328 has 312 divisors, whose sum is σ = 126512026368. Its totient is φ = 13460815872.

The previous prime is 41307107327. The next prime is 41307107341. The reversal of 41307107328 is 82370170314.

It is a super-2 number, since 2×41307107328² (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 a junction number, because it is equal to n+sod(n) for n = 41307107292 and 41307107301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41307107327) 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, 46779975 + ... + 46780857.

It is an arithmetic number, because the mean of its divisors is an integer number (405487264).

Almost surely, 2^41307107328 is an apocalyptic number.

41307107328 is a gapful number since it is divisible by the number (48) 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 41307107328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63256013184).

41307107328 is an abundant number, since it is smaller than the sum of its proper divisors (85204919040).

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

41307107328 is an frugal number, since it uses more digits than its factorization.

41307107328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 41307107328 in words is "forty-one billion, three hundred seven million, one hundred seven thousand, three hundred twenty-eight".