43078680960 has 384 divisors, whose sum is σ = 160449949440. Its totient is φ = 9630412800.

The previous prime is 43078680937. The next prime is 43078680989. The reversal of 43078680960 is 6908687034.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29688235 + ... + 29689685.

It is an arithmetic number, because the mean of its divisors is an integer number (417838410).

Almost surely, 2^43078680960 is an apocalyptic number.

43078680960 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 43078680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80224974720).

43078680960 is an abundant number, since it is smaller than the sum of its proper divisors (117371268480).

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

43078680960 is a wasteful number, since it uses less digits than its factorization.

43078680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 43078680960 in words is "forty-three billion, seventy-eight million, six hundred eighty thousand, nine hundred sixty".