42642336000 has 432 divisors, whose sum is σ = 155725524864. Its totient is φ = 10334720000.

The previous prime is 42642335977. The next prime is 42642336001. The reversal of 42642336000 is 63324624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42642336001) 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 47 ways as a sum of consecutive naturals, for example, 11614165 + ... + 11617835.

It is an arithmetic number, because the mean of its divisors is an integer number (360475752).

Almost surely, 2^42642336000 is an apocalyptic number.

42642336000 is a gapful number since it is divisible by the number (40) 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 42642336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77862762432).

42642336000 is an abundant number, since it is smaller than the sum of its proper divisors (113083188864).

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

42642336000 is a wasteful number, since it uses less digits than its factorization.

42642336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 42642336000 in words is "forty-two billion, six hundred forty-two million, three hundred thirty-six thousand".