41320409416 has 192 divisors, whose sum is σ = 95460120000. Its totient is φ = 16601195520.

The previous prime is 41320409411. The next prime is 41320409419. The reversal of 41320409416 is 61490402314.

41320409416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41320409416² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41320409411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64261591 + ... + 64262233.

It is an arithmetic number, because the mean of its divisors is an integer number (497188125).

Almost surely, 2^41320409416 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 41320409416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47730060000).

41320409416 is an abundant number, since it is smaller than the sum of its proper divisors (54139710584).

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

41320409416 is a wasteful number, since it uses less digits than its factorization.

41320409416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 41320409416 in words is "forty-one billion, three hundred twenty million, four hundred nine thousand, four hundred sixteen".