42628625582202 has 256 divisors, whose sum is σ = 109214965923840. Its totient is φ = 12300608358720.

The previous prime is 42628625582201. The next prime is 42628625582251. The reversal of 42628625582202 is 20228552682624.

42628625582202 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 8 + 62 + 558 + 2 + 20 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42628625582201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 368583928 + ... + 368699564.

It is an arithmetic number, because the mean of its divisors is an integer number (426620960640).

Almost surely, 2^{42628625582202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42628625582202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54607482961920).

42628625582202 is an abundant number, since it is smaller than the sum of its proper divisors (66586340341638).

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

42628625582202 is a wasteful number, since it uses less digits than its factorization.

42628625582202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115927 (or 115899 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 42628625582202 in words is "forty-two trillion, six hundred twenty-eight billion, six hundred twenty-five million, five hundred eighty-two thousand, two hundred two".