42771792960 has 224 divisors, whose sum is σ = 162496682880. Its totient is φ = 10528413696.

The previous prime is 42771792929. The next prime is 42771792997. The reversal of 42771792960 is 6929717724.

42771792960 is a `hidden beast` number, since 427 + 71 + 7 + 92 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42771792897 and 42771792906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78082 + ... + 302721.

It is an arithmetic number, because the mean of its divisors is an integer number (725431620).

Almost surely, 2^42771792960 is an apocalyptic number.

42771792960 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 42771792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81248341440).

42771792960 is an abundant number, since it is smaller than the sum of its proper divisors (119724889920).

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

42771792960 is a wasteful number, since it uses less digits than its factorization.

42771792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380842 (or 380826 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 42771792960 in words is "forty-two billion, seven hundred seventy-one million, seven hundred ninety-two thousand, nine hundred sixty".