41385828320 has 144 divisors (see below), whose sum is σ = 105513674112. Its totient is φ = 15322813440.

The previous prime is 41385828287. The next prime is 41385828331. The reversal of 41385828320 is 2382858314.

41385828320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2615954 + ... + 2631726.

It is an arithmetic number, because the mean of its divisors is an integer number (732733848).

Almost surely, 2^41385828320 is an apocalyptic number.

41385828320 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 41385828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52756837056).

41385828320 is an abundant number, since it is smaller than the sum of its proper divisors (64127845792).

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

41385828320 is a wasteful number, since it uses less digits than its factorization.

41385828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15865 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 41385828320 in words is "forty-one billion, three hundred eighty-five million, eight hundred twenty-eight thousand, three hundred twenty".