41434412103144 has 128 divisors (see below), whose sum is σ = 115318817328000. Its totient is φ = 13784692492800.

The previous prime is 41434412103143. The next prime is 41434412103163. The reversal of 41434412103144 is 44130121443414.

41434412103144 is a `hidden beast` number, since 4 + 1 + 434 + 4 + 1 + 210 + 3 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41434412103099 and 41434412103108.

It is not an unprimeable number, because it can be changed into a prime (41434412103143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723830364 + ... + 723887604.

It is an arithmetic number, because the mean of its divisors is an integer number (900928260375).

Almost surely, 2^{41434412103144} 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 41434412103144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57659408664000).

41434412103144 is an abundant number, since it is smaller than the sum of its proper divisors (73884405224856).

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

41434412103144 is a wasteful number, since it uses less digits than its factorization.

41434412103144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63696 (or 63686 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 41434412103144 its reverse (44130121443414), we get a palindrome (85564533546558).

The spelling of 41434412103144 in words is "forty-one trillion, four hundred thirty-four billion, four hundred twelve million, one hundred three thousand, one hundred forty-four".