42538624128 has 768 divisors, whose sum is σ = 168965072640. Its totient is φ = 9913466880.

The previous prime is 42538624127. The next prime is 42538624159. The reversal of 42538624128 is 82142683524.

42538624128 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 8 + 624 + 12 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (42538624127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42666126 + ... + 42667122.

It is an arithmetic number, because the mean of its divisors is an integer number (220006605).

Almost surely, 2^42538624128 is an apocalyptic number.

42538624128 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 42538624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84482536320).

42538624128 is an abundant number, since it is smaller than the sum of its proper divisors (126426448512).

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

42538624128 is a wasteful number, since it uses less digits than its factorization.

42538624128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1070 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

It can be divided in two parts, 42538 and 624128, that added together give a palindrome (666666).

The spelling of 42538624128 in words is "forty-two billion, five hundred thirty-eight million, six hundred twenty-four thousand, one hundred twenty-eight".