41414322244100 has 144 divisors (see below), whose sum is σ = 96953465154000. Its totient is φ = 15264385873920.

The previous prime is 41414322244091. The next prime is 41414322244109. The reversal of 41414322244100 is 144222341414.

It is an interprime number because it is at equal distance from previous prime (41414322244091) and next prime (41414322244109).

It can be written as a sum of positive squares in 24 ways, for example, as 35604062683396 + 5810259560704 = 5966914^2 + 2410448^2 .

It is a super-3 number, since 3×41414322244100³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (41414322244109) 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, 2100427442 + ... + 2100447158.

Almost surely, 2^{41414322244100} 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 41414322244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48476732577000).

41414322244100 is an abundant number, since it is smaller than the sum of its proper divisors (55539142909900).

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

41414322244100 is a wasteful number, since it uses less digits than its factorization.

41414322244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22522 (or 22515 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 41414322244100 its reverse (144222341414), we get a palindrome (41558544585514).

The spelling of 41414322244100 in words is "forty-one trillion, four hundred fourteen billion, three hundred twenty-two million, two hundred forty-four thousand, one hundred".