43661220288040 has 64 divisors (see below), whose sum is σ = 99851023656720. Its totient is φ = 17177699328000.

The previous prime is 43661220288031. The next prime is 43661220288067. The reversal of 43661220288040 is 4088202216634.

43661220288040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18529908311044 + 25131311976996 = 4304638^2 + 5013114^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93123000 + ... + 93590680.

Almost surely, 2^{43661220288040} is an apocalyptic number.

43661220288040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43661220288040 is an abundant number, since it is smaller than the sum of its proper divisors (56189803368680).

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

43661220288040 is a wasteful number, since it uses less digits than its factorization.

43661220288040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506014 (or 506010 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 43661220288040 in words is "forty-three trillion, six hundred sixty-one billion, two hundred twenty million, two hundred eighty-eight thousand, forty".