41035002224100 has 288 divisors, whose sum is σ = 120551784192000. Its totient is φ = 10775358097920.

The previous prime is 41035002224077. The next prime is 41035002224123. The reversal of 41035002224100 is 142220053014.

41035002224100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41035002224077) and next prime (41035002224123).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25345893091 + ... + 25345894709.

It is an arithmetic number, because the mean of its divisors is an integer number (418582584000).

Almost surely, 2^{41035002224100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41035002224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60275892096000).

41035002224100 is an abundant number, since it is smaller than the sum of its proper divisors (79516781967900).

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

41035002224100 is a wasteful number, since it uses less digits than its factorization.

41035002224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 41035002224100 its reverse (142220053014), we get a palindrome (41177222277114).

The spelling of 41035002224100 in words is "forty-one trillion, thirty-five billion, two million, two hundred twenty-four thousand, one hundred".