42609017550528 has 672 divisors, whose sum is σ = 147670235032320. Its totient is φ = 11573971476480.

The previous prime is 42609017550523. The next prime is 42609017550559. The reversal of 42609017550528 is 82505571090624.

42609017550528 is a `hidden beast` number, since 4 + 2 + 60 + 9 + 0 + 1 + 7 + 5 + 50 + 528 = 666.

42609017550528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42609017550523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 612700783 + ... + 612770321.

It is an arithmetic number, because the mean of its divisors is an integer number (219747373560).

Almost surely, 2^{42609017550528} is an apocalyptic number.

42609017550528 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 42609017550528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73835117516160).

42609017550528 is an abundant number, since it is smaller than the sum of its proper divisors (105061217481792).

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

42609017550528 is a wasteful number, since it uses less digits than its factorization.

42609017550528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69797 (or 69784 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 42609017550528 in words is "forty-two trillion, six hundred nine billion, seventeen million, five hundred fifty thousand, five hundred twenty-eight".