42661827936 has 576 divisors, whose sum is σ = 153592298496. Its totient is φ = 10934784000.

The previous prime is 42661827931. The next prime is 42661827977. The reversal of 42661827936 is 63972816624.

42661827936 is a `hidden beast` number, since 426 + 6 + 182 + 7 + 9 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42661827931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187937455 + ... + 187937681.

It is an arithmetic number, because the mean of its divisors is an integer number (266653296).

Almost surely, 2^42661827936 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 42661827936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76796149248).

42661827936 is an abundant number, since it is smaller than the sum of its proper divisors (110930470560).

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

42661827936 is a wasteful number, since it uses less digits than its factorization.

42661827936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 42661827936 in words is "forty-two billion, six hundred sixty-one million, eight hundred twenty-seven thousand, nine hundred thirty-six".