42861333312 has 504 divisors, whose sum is σ = 151504741440. Its totient is φ = 11519262720.

The previous prime is 42861333289. The next prime is 42861333353. The reversal of 42861333312 is 21333316824.

42861333312 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 1 + 333 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 137817637 + ... + 137817947.

Almost surely, 2^42861333312 is an apocalyptic number.

42861333312 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 42861333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75752370720).

42861333312 is an abundant number, since it is smaller than the sum of its proper divisors (108643408128).

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

42861333312 is a wasteful number, since it uses less digits than its factorization.

42861333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 599 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 42861333312 in words is "forty-two billion, eight hundred sixty-one million, three hundred thirty-three thousand, three hundred twelve".