41000007200 has 72 divisors (see below), whose sum is σ = 100152410148. Its totient is φ = 16389985280.

The previous prime is 41000007197. The next prime is 41000007203. The reversal of 41000007200 is 270000014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41000007197) and next prime (41000007203).

It can be written as a sum of positive squares in 6 ways, for example, as 6482826256 + 34517180944 = 80516^2 + 185788^2 .

It is not an unprimeable number, because it can be changed into a prime (41000007203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1371614 + ... + 1401186.

Almost surely, 2^41000007200 is an apocalyptic number.

41000007200 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 41000007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50076205074).

41000007200 is an abundant number, since it is smaller than the sum of its proper divisors (59152402948).

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

41000007200 is a wasteful number, since it uses less digits than its factorization.

41000007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31326 (or 31313 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

Adding to 41000007200 its reverse (270000014), we get a palindrome (41270007214).

The spelling of 41000007200 in words is "forty-one billion, seven thousand, two hundred".