41320817280 has 256 divisors, whose sum is σ = 148201920000. Its totient is φ = 10879045632.

The previous prime is 41320817269. The next prime is 41320817297. The reversal of 41320817280 is 8271802314.

41320817280 is a `hidden beast` number, since 41 + 320 + 8 + 17 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349986 + ... + 1380254.

It is an arithmetic number, because the mean of its divisors is an integer number (578913750).

Almost surely, 2^41320817280 is an apocalyptic number.

41320817280 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 41320817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74100960000).

41320817280 is an abundant number, since it is smaller than the sum of its proper divisors (106881102720).

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

41320817280 is a wasteful number, since it uses less digits than its factorization.

41320817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30376 (or 30358 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 41320817280 in words is "forty-one billion, three hundred twenty million, eight hundred seventeen thousand, two hundred eighty".