41434100024240 has 160 divisors (see below), whose sum is σ = 120138222090240. Its totient is φ = 12910960972800.

The previous prime is 41434100024209. The next prime is 41434100024257. The reversal of 41434100024240 is 4242000143414.

41434100024240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21440726 + ... + 23293194.

It is an arithmetic number, because the mean of its divisors is an integer number (750863888064).

Almost surely, 2^{41434100024240} is an apocalyptic number.

41434100024240 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 41434100024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60069111045120).

41434100024240 is an abundant number, since it is smaller than the sum of its proper divisors (78704122066000).

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

41434100024240 is a wasteful number, since it uses less digits than its factorization.

41434100024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856131 (or 1856125 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 41434100024240 its reverse (4242000143414), we get a palindrome (45676100167654).

The spelling of 41434100024240 in words is "forty-one trillion, four hundred thirty-four billion, one hundred million, twenty-four thousand, two hundred forty".