41334341214240 has 144 divisors (see below), whose sum is σ = 142638309941400. Its totient is φ = 10898642743296.

The previous prime is 41334341214197. The next prime is 41334341214253. The reversal of 41334341214240 is 4241214343314.

41334341214240 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 434 + 1 + 214 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25446495980304 + 15887845233936 = 5044452^2 + 3985956^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 41334341214195 and 41334341214204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161132535 + ... + 161388854.

Almost surely, 2^{41334341214240} is an apocalyptic number.

41334341214240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41334341214240 is an abundant number, since it is smaller than the sum of its proper divisors (101303968727160).

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

41334341214240 is a wasteful number, since it uses less digits than its factorization.

41334341214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322521499 (or 322521488 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 41334341214240 its reverse (4241214343314), we get a palindrome (45575555557554).

The spelling of 41334341214240 in words is "forty-one trillion, three hundred thirty-four billion, three hundred forty-one million, two hundred fourteen thousand, two hundred forty".