42094128384 has 576 divisors, whose sum is σ = 156586752000. Its totient is φ = 10835804160.

The previous prime is 42094128367. The next prime is 42094128389. The reversal of 42094128384 is 48382149024.

42094128384 is a `hidden beast` number, since 4 + 209 + 41 + 28 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42094128389) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 73978852 + ... + 73979420.

It is an arithmetic number, because the mean of its divisors is an integer number (271852000).

Almost surely, 2^42094128384 is an apocalyptic number.

42094128384 is a gapful number since it is divisible by the number (44) 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 42094128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78293376000).

42094128384 is an abundant number, since it is smaller than the sum of its proper divisors (114492623616).

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

42094128384 is a wasteful number, since it uses less digits than its factorization.

42094128384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

It can be divided in two parts, 420 and 94128384, that added together give a square (94128804 = 9702²).

The spelling of 42094128384 in words is "forty-two billion, ninety-four million, one hundred twenty-eight thousand, three hundred eighty-four".