43800943680 has 336 divisors, whose sum is σ = 163749746160. Its totient is φ = 10681860096.

The previous prime is 43800943663. The next prime is 43800943687. The reversal of 43800943680 is 8634900834.

It can be written as a sum of positive squares in 8 ways, for example, as 7084252224 + 36716691456 = 84168^2 + 191616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (43800943687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4075594 + ... + 4086326.

It is an arithmetic number, because the mean of its divisors is an integer number (487350435).

Almost surely, 2^43800943680 is an apocalyptic number.

43800943680 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 43800943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81874873080).

43800943680 is an abundant number, since it is smaller than the sum of its proper divisors (119948802480).

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

43800943680 is a wasteful number, since it uses less digits than its factorization.

43800943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10878 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 43800943680 in words is "forty-three billion, eight hundred million, nine hundred forty-three thousand, six hundred eighty".