42825274632 has 384 divisors, whose sum is σ = 144632217600. Its totient is φ = 11183961600.

The previous prime is 42825274631. The next prime is 42825274643. The reversal of 42825274632 is 23647252824.

42825274632 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 5 + 2 + 7 + 4 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (42825274631) 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, 21294507 + ... + 21296517.

It is an arithmetic number, because the mean of its divisors is an integer number (376646400).

Almost surely, 2^42825274632 is an apocalyptic number.

42825274632 is a gapful number since it is divisible by the number (42) 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 42825274632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316108800).

42825274632 is an abundant number, since it is smaller than the sum of its proper divisors (101806942968).

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

42825274632 is a wasteful number, since it uses less digits than its factorization.

42825274632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2130 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 42825274632 in words is "forty-two billion, eight hundred twenty-five million, two hundred seventy-four thousand, six hundred thirty-two".