42849766176 has 384 divisors, whose sum is σ = 141668352000. Its totient is φ = 11300889600.

The previous prime is 42849766171. The next prime is 42849766181. The reversal of 42849766176 is 67166794824.

It is an interprime number because it is at equal distance from previous prime (42849766171) and next prime (42849766181).

It is a super-2 number, since 2×42849766176² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42849766171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21962001 + ... + 21963951.

It is an arithmetic number, because the mean of its divisors is an integer number (368928000).

Almost surely, 2^42849766176 is an apocalyptic number.

42849766176 is a gapful number since it is divisible by the number (46) 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 42849766176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70834176000).

42849766176 is an abundant number, since it is smaller than the sum of its proper divisors (98818585824).

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

42849766176 is a wasteful number, since it uses less digits than its factorization.

42849766176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2015 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 42849766176 in words is "forty-two billion, eight hundred forty-nine million, seven hundred sixty-six thousand, one hundred seventy-six".