239412641328 has 240 divisors, whose sum is σ = 807167861760. Its totient is φ = 67738882176.

The previous prime is 239412641203. The next prime is 239412641329. The reversal of 239412641328 is 823146214932.

239412641328 is a `hidden beast` number, since 2 + 3 + 94 + 126 + 413 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (239412641329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2125401 + ... + 2235207.

It is an arithmetic number, because the mean of its divisors is an integer number (3363199424).

Almost surely, 2^239412641328 is an apocalyptic number.

239412641328 is a gapful number since it is divisible by the number (28) 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 239412641328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403583930880).

239412641328 is an abundant number, since it is smaller than the sum of its proper divisors (567755220432).

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

239412641328 is a wasteful number, since it uses less digits than its factorization.

239412641328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109941 (or 109922 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 239412641328 in words is "two hundred thirty-nine billion, four hundred twelve million, six hundred forty-one thousand, three hundred twenty-eight".