42108619609728 has 384 divisors, whose sum is σ = 145526847926400. Its totient is φ = 11951351193600.

The previous prime is 42108619609703. The next prime is 42108619609747. The reversal of 42108619609728 is 82790691680124.

42108619609728 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 8 + 6 + 19 + 609 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24747576 + ... + 26394312.

It is an arithmetic number, because the mean of its divisors is an integer number (378976166475).

Almost surely, 2^{42108619609728} is an apocalyptic number.

42108619609728 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 42108619609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72763423963200).

42108619609728 is an abundant number, since it is smaller than the sum of its proper divisors (103418228316672).

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

42108619609728 is a wasteful number, since it uses less digits than its factorization.

42108619609728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646925 (or 1646900 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 42108619609728 in words is "forty-two trillion, one hundred eight billion, six hundred nineteen million, six hundred nine thousand, seven hundred twenty-eight".