42631636992 has 576 divisors, whose sum is σ = 144530568000. Its totient is φ = 11098128384.

The previous prime is 42631636991. The next prime is 42631636997. The reversal of 42631636992 is 29963613624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42631636991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165881728 + ... + 165881984.

It is an arithmetic number, because the mean of its divisors is an integer number (250921125).

Almost surely, 2^42631636992 is an apocalyptic number.

42631636992 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 42631636992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72265284000).

42631636992 is an abundant number, since it is smaller than the sum of its proper divisors (101898931008).

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

42631636992 is a wasteful number, since it uses less digits than its factorization.

42631636992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 317 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 51.

The spelling of 42631636992 in words is "forty-two billion, six hundred thirty-one million, six hundred thirty-six thousand, nine hundred ninety-two".