42079072115808 has 1728 divisors, whose sum is σ = 165828861394560. Its totient is φ = 9984673972224.

The previous prime is 42079072115807. The next prime is 42079072115819. The reversal of 42079072115808 is 80851127097024.

42079072115808 is a `hidden beast` number, since 42 + 0 + 7 + 9 + 0 + 7 + 2 + 11 + 580 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42079072115807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9315709966 + ... + 9315714482.

It is an arithmetic number, because the mean of its divisors is an integer number (95965776270).

Almost surely, 2^{42079072115808} is an apocalyptic number.

42079072115808 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 42079072115808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82914430697280).

42079072115808 is an abundant number, since it is smaller than the sum of its proper divisors (123749789278752).

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

42079072115808 is a wasteful number, since it uses less digits than its factorization.

42079072115808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 42079072115808 in words is "forty-two trillion, seventy-nine billion, seventy-two million, one hundred fifteen thousand, eight hundred eight".