42756424128 has 840 divisors, whose sum is σ = 152881242624. Its totient is φ = 11701324800.

The previous prime is 42756424111. The next prime is 42756424129. The reversal of 42756424128 is 82142465724.

42756424128 is a `hidden beast` number, since 4 + 27 + 564 + 2 + 41 + 28 = 666.

It is a super-2 number, since 2×42756424128² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42756424129) 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 119 ways as a sum of consecutive naturals, for example, 638155551 + ... + 638155617.

Almost surely, 2^42756424128 is an apocalyptic number.

42756424128 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 42756424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440621312).

42756424128 is an abundant number, since it is smaller than the sum of its proper divisors (110124818496).

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

42756424128 is a wasteful number, since it uses less digits than its factorization.

42756424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 133 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 42756424128 in words is "forty-two billion, seven hundred fifty-six million, four hundred twenty-four thousand, one hundred twenty-eight".