41001122320 has 20 divisors (see below), whose sum is σ = 95327609580. Its totient is φ = 16400448896.

The previous prime is 41001122297. The next prime is 41001122329. The reversal of 41001122320 is 2322110014.

41001122320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31718185216 + 9282937104 = 178096^2 + 96348^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41001122294 and 41001122303.

It is not an unprimeable number, because it can be changed into a prime (41001122329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256256935 + ... + 256257094.

It is an arithmetic number, because the mean of its divisors is an integer number (4766380479).

Almost surely, 2^41001122320 is an apocalyptic number.

41001122320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41001122320 is an abundant number, since it is smaller than the sum of its proper divisors (54326487260).

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

41001122320 is a wasteful number, since it uses less digits than its factorization.

41001122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512514042 (or 512514036 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 41001122320 its reverse (2322110014), we get a palindrome (43323232334).

The spelling of 41001122320 in words is "forty-one billion, one million, one hundred twenty-two thousand, three hundred twenty".