42738251328 has 168 divisors, whose sum is σ = 130732572672. Its totient is φ = 13302116352.

The previous prime is 42738251279. The next prime is 42738251333. The reversal of 42738251328 is 82315283724.

42738251328 is a `hidden beast` number, since 4 + 2 + 73 + 8 + 251 + 328 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1226401 + ... + 1260767.

Almost surely, 2^42738251328 is an apocalyptic number.

42738251328 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 42738251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65366286336).

42738251328 is an abundant number, since it is smaller than the sum of its proper divisors (87994321344).

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

42738251328 is a wasteful number, since it uses less digits than its factorization.

42738251328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34529 (or 34516 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 42738251328 in words is "forty-two billion, seven hundred thirty-eight million, two hundred fifty-one thousand, three hundred twenty-eight".