42752406528 has 440 divisors, whose sum is σ = 142033633280. Its totient is φ = 12720291840.

The previous prime is 42752406527. The next prime is 42752406533. The reversal of 42752406528 is 82560425724.

42752406528 is a `hidden beast` number, since 42 + 7 + 524 + 0 + 65 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42752406527) 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 39 ways as a sum of consecutive naturals, for example, 33425793 + ... + 33427071.

It is an arithmetic number, because the mean of its divisors is an integer number (322803712).

Almost surely, 2^42752406528 is an apocalyptic number.

42752406528 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 42752406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71016816640).

42752406528 is an abundant number, since it is smaller than the sum of its proper divisors (99281226752).

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

42752406528 is a wasteful number, since it uses less digits than its factorization.

42752406528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 42752406528 in words is "forty-two billion, seven hundred fifty-two million, four hundred six thousand, five hundred twenty-eight".