42815133012768 has 192 divisors, whose sum is σ = 116518636080000. Its totient is φ = 13749569921024.

The previous prime is 42815133012763. The next prime is 42815133012791. The reversal of 42815133012768 is 86721033151824.

It is a super-2 number, since 2×42815133012768² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42815133012768.

It is not an unprimeable number, because it can be changed into a prime (42815133012763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7209145543 + ... + 7209151481.

It is an arithmetic number, because the mean of its divisors is an integer number (606867896250).

Almost surely, 2^{42815133012768} is an apocalyptic number.

42815133012768 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 42815133012768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58259318040000).

42815133012768 is an abundant number, since it is smaller than the sum of its proper divisors (73703503067232).

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

42815133012768 is a wasteful number, since it uses less digits than its factorization.

42815133012768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11187 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 42815133012768 in words is "forty-two trillion, eight hundred fifteen billion, one hundred thirty-three million, twelve thousand, seven hundred sixty-eight".