43067760066240 has 896 divisors, whose sum is σ = 169749216000000. Its totient is φ = 9062256033792.

The previous prime is 43067760066217. The next prime is 43067760066263. The reversal of 43067760066240 is 4266006776034.

43067760066240 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (43067760066217) and next prime (43067760066263).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5743130011 + ... + 5743137509.

It is an arithmetic number, because the mean of its divisors is an integer number (189452250000).

Almost surely, 2^{43067760066240} is an apocalyptic number.

43067760066240 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 43067760066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84874608000000).

43067760066240 is an abundant number, since it is smaller than the sum of its proper divisors (126681455933760).

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

43067760066240 is a wasteful number, since it uses less digits than its factorization.

43067760066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 43067760066240 in words is "forty-three trillion, sixty-seven billion, seven hundred sixty million, sixty-six thousand, two hundred forty".