41314440320 has 64 divisors (see below), whose sum is σ = 99134911800. Its totient is φ = 16464273408.

The previous prime is 41314440319. The next prime is 41314440331. The reversal of 41314440320 is 2304441314.

It can be written as a sum of positive squares in 4 ways, for example, as 23841830464 + 17472609856 = 154408^2 + 132184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 41314440320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52172 + ... + 292148.

Almost surely, 2^41314440320 is an apocalyptic number.

41314440320 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 41314440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49567455900).

41314440320 is an abundant number, since it is smaller than the sum of its proper divisors (57820471480).

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

41314440320 is a wasteful number, since it uses less digits than its factorization.

41314440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240265 (or 240253 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 41314440320 its reverse (2304441314), we get a palindrome (43618881634).

The spelling of 41314440320 in words is "forty-one billion, three hundred fourteen million, four hundred forty thousand, three hundred twenty".