42418067328 has 768 divisors, whose sum is σ = 157185100800. Its totient is φ = 10683187200.

The previous prime is 42418067299. The next prime is 42418067339. The reversal of 42418067328 is 82376081424.

It is a happy number.

42418067328 is a `hidden beast` number, since 4 + 241 + 80 + 6 + 7 + 328 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 305165883 + ... + 305166021.

It is an arithmetic number, because the mean of its divisors is an integer number (204668100).

Almost surely, 2^42418067328 is an apocalyptic number.

42418067328 is a gapful number since it is divisible by the number (48) 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 42418067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78592550400).

42418067328 is an abundant number, since it is smaller than the sum of its proper divisors (114767033472).

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

42418067328 is a wasteful number, since it uses less digits than its factorization.

42418067328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42418067328 in words is "forty-two billion, four hundred eighteen million, sixty-seven thousand, three hundred twenty-eight".