42808128197760 has 768 divisors, whose sum is σ = 155583347961600. Its totient is φ = 10825123921920.

The previous prime is 42808128197729. The next prime is 42808128197761. The reversal of 42808128197760 is 6779182180824.

42808128197760 is a `hidden beast` number, since 4 + 280 + 8 + 1 + 281 + 9 + 7 + 76 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (42808128197761) 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, 7519429474 + ... + 7519435166.

It is an arithmetic number, because the mean of its divisors is an integer number (202582484325).

Almost surely, 2^{42808128197760} is an apocalyptic number.

42808128197760 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 42808128197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77791673980800).

42808128197760 is an abundant number, since it is smaller than the sum of its proper divisors (112775219763840).

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

42808128197760 is a wasteful number, since it uses less digits than its factorization.

42808128197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6221 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 42808128197760 in words is "forty-two trillion, eight hundred eight billion, one hundred twenty-eight million, one hundred ninety-seven thousand, seven hundred sixty".