41001340200 has 96 divisors (see below), whose sum is σ = 127327817760. Its totient is φ = 10914451200.

The previous prime is 41001340147. The next prime is 41001340207. The reversal of 41001340200 is 204310014.

It is a super-2 number, since 2×41001340200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41001340200.

It is not an unprimeable number, because it can be changed into a prime (41001340207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282762 + ... + 402438.

It is an arithmetic number, because the mean of its divisors is an integer number (1326331435).

Almost surely, 2^41001340200 is an apocalyptic number.

41001340200 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 41001340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63663908880).

41001340200 is an abundant number, since it is smaller than the sum of its proper divisors (86326477560).

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

41001340200 is a wasteful number, since it uses less digits than its factorization.

41001340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120267 (or 120258 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 41001340200 its reverse (204310014), we get a palindrome (41205650214).

The spelling of 41001340200 in words is "forty-one billion, one million, three hundred forty thousand, two hundred".