42911582112 has 384 divisors, whose sum is σ = 149688000000. Its totient is φ = 11700412416.

The previous prime is 42911582107. The next prime is 42911582117. The reversal of 42911582112 is 21128511924.

42911582112 is a `hidden beast` number, since 4 + 291 + 158 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42911582107) and next prime (42911582117).

It is a super-3 number, since 3×42911582112³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42911582117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15608514 + ... + 15611262.

It is an arithmetic number, because the mean of its divisors is an integer number (389812500).

Almost surely, 2^42911582112 is an apocalyptic number.

42911582112 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 42911582112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74844000000).

42911582112 is an abundant number, since it is smaller than the sum of its proper divisors (106776417888).

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

42911582112 is a wasteful number, since it uses less digits than its factorization.

42911582112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2879 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The spelling of 42911582112 in words is "forty-two billion, nine hundred eleven million, five hundred eighty-two thousand, one hundred twelve".