42875677121628 has 192 divisors, whose sum is σ = 109954212480000. Its totient is φ = 12922896992256.

The previous prime is 42875677121617. The next prime is 42875677121647. The reversal of 42875677121628 is 82612177657824.

42875677121628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5118257376 + ... + 5118265752.

It is an arithmetic number, because the mean of its divisors is an integer number (572678190000).

Almost surely, 2^{42875677121628} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42875677121628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54977106240000).

42875677121628 is an abundant number, since it is smaller than the sum of its proper divisors (67078535358372).

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

42875677121628 is a wasteful number, since it uses less digits than its factorization.

42875677121628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10364 (or 10362 counting only the distinct ones).

The product of its digits is 126443520, while the sum is 66.

The spelling of 42875677121628 in words is "forty-two trillion, eight hundred seventy-five billion, six hundred seventy-seven million, one hundred twenty-one thousand, six hundred twenty-eight".