41582200000 has 336 divisors, whose sum is σ = 115507044576. Its totient is φ = 14720000000.

The previous prime is 41582199977. The next prime is 41582200003. The reversal of 41582200000 is 228514.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (41582200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90199770 + ... + 90200230.

It is an arithmetic number, because the mean of its divisors is an integer number (343770966).

Almost surely, 2^41582200000 is an apocalyptic number.

41582200000 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 41582200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57753522288).

41582200000 is an abundant number, since it is smaller than the sum of its proper divisors (73924844576).

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

41582200000 is an equidigital number, since it uses as much as digits as its factorization.

41582200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 41582200000 its reverse (228514), we get a palindrome (41582428514).

The spelling of 41582200000 in words is "forty-one billion, five hundred eighty-two million, two hundred thousand".