41300105364 has 360 divisors, whose sum is σ = 132201440448. Its totient is φ = 11009882880.

The previous prime is 41300105321. The next prime is 41300105369. The reversal of 41300105364 is 46350100314.

41300105364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41300105369) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 59768259 + ... + 59768949.

Almost surely, 2^41300105364 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 41300105364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66100720224).

41300105364 is an abundant number, since it is smaller than the sum of its proper divisors (90901335084).

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

41300105364 is a wasteful number, since it uses less digits than its factorization.

41300105364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 41300105364 its reverse (46350100314), we get a palindrome (87650205678).

The spelling of 41300105364 in words is "forty-one billion, three hundred million, one hundred five thousand, three hundred sixty-four".