42028614271602 has 192 divisors, whose sum is σ = 106703128756224. Its totient is φ = 11706513724800.

The previous prime is 42028614271573. The next prime is 42028614271603. The reversal of 42028614271602 is 20617241682024.

42028614271602 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 8 + 6 + 14 + 27 + 1 + 602 = 666.

42028614271602 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42028614271602² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42028614271603) 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, 3023416852 + ... + 3023430752.

It is an arithmetic number, because the mean of its divisors is an integer number (555745462272).

Almost surely, 2^{42028614271602} is an apocalyptic number.

42028614271602 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42028614271602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53351564378112).

42028614271602 is an abundant number, since it is smaller than the sum of its proper divisors (64674514484622).

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

42028614271602 is a wasteful number, since it uses less digits than its factorization.

42028614271602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42028614271602 in words is "forty-two trillion, twenty-eight billion, six hundred fourteen million, two hundred seventy-one thousand, six hundred two".