41413104200 has 96 divisors (see below), whose sum is σ = 103853222760. Its totient is φ = 15267225600.

The previous prime is 41413104193. The next prime is 41413104203. The reversal of 41413104200 is 240131414.

It can be written as a sum of positive squares in 12 ways, for example, as 5452050244 + 35961053956 = 73838^2 + 189634^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (41413104203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1706552 + ... + 1730648.

Almost surely, 2^41413104200 is an apocalyptic number.

41413104200 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 41413104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51926611380).

41413104200 is an abundant number, since it is smaller than the sum of its proper divisors (62440118560).

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

41413104200 is a wasteful number, since it uses less digits than its factorization.

41413104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24787 (or 24778 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41413104200 its reverse (240131414), we get a palindrome (41653235614).

The spelling of 41413104200 in words is "forty-one billion, four hundred thirteen million, one hundred four thousand, two hundred".