42761841408 has 1296 divisors, whose sum is σ = 166242935040. Its totient is φ = 10839121920.

The previous prime is 42761841403. The next prime is 42761841443. The reversal of 42761841408 is 80414816724.

42761841408 is a `hidden beast` number, since 4 + 27 + 618 + 4 + 1 + 4 + 0 + 8 = 666.

42761841408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is not an unprimeable number, because it can be changed into a prime (42761841401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1859210485 + ... + 1859210507.

Almost surely, 2^42761841408 is an apocalyptic number.

42761841408 is a gapful number since it is divisible by the number (48) 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 42761841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83121467520).

42761841408 is an abundant number, since it is smaller than the sum of its proper divisors (123481093632).

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

42761841408 is a wasteful number, since it uses less digits than its factorization.

42761841408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 42761841408 in words is "forty-two billion, seven hundred sixty-one million, eight hundred forty-one thousand, four hundred eight".