42625355136 has 768 divisors, whose sum is σ = 153209548800. Its totient is φ = 10212065280.

The previous prime is 42625355131. The next prime is 42625355183. The reversal of 42625355136 is 63155352624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42625355131) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 391058250 + ... + 391058358.

It is an arithmetic number, because the mean of its divisors is an integer number (199491600).

Almost surely, 2^42625355136 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 42625355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76604774400).

42625355136 is an abundant number, since it is smaller than the sum of its proper divisors (110584193664).

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

42625355136 is a wasteful number, since it uses less digits than its factorization.

42625355136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 42625355136 in words is "forty-two billion, six hundred twenty-five million, three hundred fifty-five thousand, one hundred thirty-six".