43340493980160 has 960 divisors, whose sum is σ = 164793020071680. Its totient is φ = 10462197841920.

The previous prime is 43340493980153. The next prime is 43340493980167. The reversal of 43340493980160 is 6108939404334.

It is a happy number.

43340493980160 is a `hidden beast` number, since 4 + 3 + 3 + 4 + 0 + 493 + 98 + 0 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (43340493980153) and next prime (43340493980167).

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 43340493980097 and 43340493980106.

It is not an unprimeable number, because it can be changed into a prime (43340493980167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4595530645 + ... + 4595540075.

It is an arithmetic number, because the mean of its divisors is an integer number (171659395908).

Almost surely, 2^{43340493980160} is an apocalyptic number.

43340493980160 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 43340493980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82396510035840).

43340493980160 is an abundant number, since it is smaller than the sum of its proper divisors (121452526091520).

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

43340493980160 is a wasteful number, since it uses less digits than its factorization.

43340493980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9769 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 43340493980160 in words is "forty-three trillion, three hundred forty billion, four hundred ninety-three million, nine hundred eighty thousand, one hundred sixty".