42735138768 has 240 divisors, whose sum is σ = 138162585600. Its totient is φ = 12078823680.

The previous prime is 42735138763. The next prime is 42735138821. The reversal of 42735138768 is 86783153724.

It is a happy number.

42735138768 is a `hidden beast` number, since 42 + 7 + 3 + 513 + 87 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42735138763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43122753 + ... + 43123743.

It is an arithmetic number, because the mean of its divisors is an integer number (575677440).

Almost surely, 2^42735138768 is an apocalyptic number.

42735138768 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 42735138768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69081292800).

42735138768 is an abundant number, since it is smaller than the sum of its proper divisors (95427446832).

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

42735138768 is a wasteful number, since it uses less digits than its factorization.

42735138768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1421 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

It can be divided in two parts, 42735 and 138768, that added together give a triangular number (181503 = T₆₀₂).

The spelling of 42735138768 in words is "forty-two billion, seven hundred thirty-five million, one hundred thirty-eight thousand, seven hundred sixty-eight".