42656135760 has 400 divisors, whose sum is σ = 170115111936. Its totient is φ = 9703950336.

The previous prime is 42656135741. The next prime is 42656135761. The reversal of 42656135760 is 6753165624.

42656135760 is a `hidden beast` number, since 4 + 2 + 65 + 6 + 13 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42656135761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10113172 + ... + 10117388.

Almost surely, 2^42656135760 is an apocalyptic number.

42656135760 is a gapful number since it is divisible by the number (40) 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 42656135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85057555968).

42656135760 is an abundant number, since it is smaller than the sum of its proper divisors (127458976176).

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

42656135760 is a wasteful number, since it uses less digits than its factorization.

42656135760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 42656135760 in words is "forty-two billion, six hundred fifty-six million, one hundred thirty-five thousand, seven hundred sixty".