42331786272 has 384 divisors, whose sum is σ = 132596352000. Its totient is φ = 13113999360.

The previous prime is 42331786267. The next prime is 42331786291. The reversal of 42331786272 is 27268713324.

42331786272 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 17 + 8 + 627 + 2 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 91429113 + ... + 91429575.

It is an arithmetic number, because the mean of its divisors is an integer number (345303000).

Almost surely, 2^42331786272 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 42331786272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66298176000).

42331786272 is an abundant number, since it is smaller than the sum of its proper divisors (90264565728).

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

42331786272 is a wasteful number, since it uses less digits than its factorization.

42331786272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 627 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 42331786272 in words is "forty-two billion, three hundred thirty-one million, seven hundred eighty-six thousand, two hundred seventy-two".