42338806272 has 800 divisors, whose sum is σ = 159994973952. Its totient is φ = 10861019136.

The previous prime is 42338806271. The next prime is 42338806337. The reversal of 42338806272 is 27260883324.

42338806272 is a `hidden beast` number, since 42 + 338 + 8 + 0 + 6 + 272 = 666.

It is not an unprimeable number, because it can be changed into a prime (42338806271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113508678 + ... + 113509050.

Almost surely, 2^42338806272 is an apocalyptic number.

42338806272 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 42338806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79997486976).

42338806272 is an abundant number, since it is smaller than the sum of its proper divisors (117656167680).

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

42338806272 is a wasteful number, since it uses less digits than its factorization.

42338806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 42338806272 in words is "forty-two billion, three hundred thirty-eight million, eight hundred six thousand, two hundred seventy-two".