43378840661328 has 480 divisors, whose sum is σ = 134839255449600. Its totient is φ = 12963046118400.

The previous prime is 43378840661287. The next prime is 43378840661333. The reversal of 43378840661328 is 82316604887334.

43378840661328 is a `hidden beast` number, since 4 + 3 + 3 + 7 + 8 + 8 + 4 + 0 + 6 + 613 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5146376218 + ... + 5146384646.

It is an arithmetic number, because the mean of its divisors is an integer number (280915115520).

Almost surely, 2^{43378840661328} is an apocalyptic number.

43378840661328 is a gapful number since it is divisible by the number (48) 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 43378840661328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67419627724800).

43378840661328 is an abundant number, since it is smaller than the sum of its proper divisors (91460414788272).

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

43378840661328 is a wasteful number, since it uses less digits than its factorization.

43378840661328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831 (or 9822 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 43378840661328 in words is "forty-three trillion, three hundred seventy-eight billion, eight hundred forty million, six hundred sixty-one thousand, three hundred twenty-eight".