42684128000 has 144 divisors (see below), whose sum is σ = 106698271680. Its totient is φ = 17014784000.

The previous prime is 42684127999. The next prime is 42684128021. The reversal of 42684128000 is 82148624.

It is a super-3 number, since 3×42684128000³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9949856 + ... + 9954144.

It is an arithmetic number, because the mean of its divisors is an integer number (740960220).

Almost surely, 2^42684128000 is an apocalyptic number.

42684128000 is a gapful number since it is divisible by the number (40) 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 42684128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53349135840).

42684128000 is an abundant number, since it is smaller than the sum of its proper divisors (64014143680).

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

42684128000 is an equidigital number, since it uses as much as digits as its factorization.

42684128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 42684128000 in words is "forty-two billion, six hundred eighty-four million, one hundred twenty-eight thousand".