42881442912 has 1152 divisors, whose sum is σ = 171085824000. Its totient is φ = 10059033600.

The previous prime is 42881442887. The next prime is 42881442913. The reversal of 42881442912 is 21924418824.

42881442912 is a `hidden beast` number, since 42 + 8 + 81 + 442 + 91 + 2 = 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 (42881442913) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 640021503 + ... + 640021569.

It is an arithmetic number, because the mean of its divisors is an integer number (148512000).

Almost surely, 2^42881442912 is an apocalyptic number.

42881442912 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 42881442912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85542912000).

42881442912 is an abundant number, since it is smaller than the sum of its proper divisors (128204381088).

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

42881442912 is a wasteful number, since it uses less digits than its factorization.

42881442912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 42881442912 in words is "forty-two billion, eight hundred eighty-one million, four hundred forty-two thousand, nine hundred twelve".