43838296960 has 64 divisors (see below), whose sum is σ = 104829235200. Its totient is φ = 17530583040.

The previous prime is 43838296951. The next prime is 43838296961. The reversal of 43838296960 is 6969283834.

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

It is a junction number, because it is equal to n+sod(n) for n = 43838296895 and 43838296904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43838296961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3269470 + ... + 3282850.

It is an arithmetic number, because the mean of its divisors is an integer number (1637956800).

Almost surely, 2^43838296960 is an apocalyptic number.

43838296960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43838296960 is an abundant number, since it is smaller than the sum of its proper divisors (60990938240).

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

43838296960 is a wasteful number, since it uses less digits than its factorization.

43838296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18519 (or 18507 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 58.

The spelling of 43838296960 in words is "forty-three billion, eight hundred thirty-eight million, two hundred ninety-six thousand, nine hundred sixty".