43114816081920 has 832 divisors, whose sum is σ = 154809352710144. Its totient is φ = 10154787471360.

The previous prime is 43114816081889. The next prime is 43114816081921. The reversal of 43114816081920 is 2918061841134.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 43114816081920.

It is not an unprimeable number, because it can be changed into a prime (43114816081921) 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 63 ways as a sum of consecutive naturals, for example, 5608792317 + ... + 5608800003.

Almost surely, 2^{43114816081920} is an apocalyptic number.

43114816081920 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 43114816081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77404676355072).

43114816081920 is an abundant number, since it is smaller than the sum of its proper divisors (111694536628224).

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

43114816081920 is a wasteful number, since it uses less digits than its factorization.

43114816081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7966 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 43114816081920 in words is "forty-three trillion, one hundred fourteen billion, eight hundred sixteen million, eighty-one thousand, nine hundred twenty".