42661332000 has 1152 divisors, whose sum is σ = 184209113088. Its totient is φ = 9144576000.

The previous prime is 42661331987. The next prime is 42661332017. The reversal of 42661332000 is 23316624.

42661332000 is a `hidden beast` number, since 4 + 26 + 613 + 3 + 20 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 335915937 + ... + 335916063.

It is an arithmetic number, because the mean of its divisors is an integer number (159903744).

Almost surely, 2^42661332000 is an apocalyptic number.

42661332000 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 42661332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92104556544).

42661332000 is an abundant number, since it is smaller than the sum of its proper divisors (141547781088).

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

42661332000 is a wasteful number, since it uses less digits than its factorization.

42661332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 42661332000 its reverse (23316624), we get a palindrome (42684648624).

The spelling of 42661332000 in words is "forty-two billion, six hundred sixty-one million, three hundred thirty-two thousand".