43728366240 has 768 divisors, whose sum is σ = 175575859200. Its totient is φ = 10075705344.

The previous prime is 43728366233. The next prime is 43728366247. The reversal of 43728366240 is 4266382734.

43728366240 is a `hidden beast` number, since 4 + 372 + 8 + 36 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (43728366233) and next prime (43728366247).

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 (43728366247) 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 127 ways as a sum of consecutive naturals, for example, 114173089 + ... + 114173471.

It is an arithmetic number, because the mean of its divisors is an integer number (228614400).

Almost surely, 2^43728366240 is an apocalyptic number.

43728366240 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 43728366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87787929600).

43728366240 is an abundant number, since it is smaller than the sum of its proper divisors (131847492960).

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

43728366240 is a wasteful number, since it uses less digits than its factorization.

43728366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 43728366240 in words is "forty-three billion, seven hundred twenty-eight million, three hundred sixty-six thousand, two hundred forty".