238798193437440 has 6912 divisors, whose sum is σ = 1147938656256000. Its totient is φ = 45910578954240.

The previous prime is 238798193437421. The next prime is 238798193437451. The reversal of 238798193437440 is 44734391897832.

238798193437440 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 98 + 1 + 93 + 4 + 3 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 2683125768916 + ... + 2683125769004.

It is an arithmetic number, because the mean of its divisors is an integer number (166079088000).

Almost surely, 2^{238798193437440} is an apocalyptic number.

238798193437440 is a gapful number since it is divisible by the number (20) 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 238798193437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573969328128000).

238798193437440 is an abundant number, since it is smaller than the sum of its proper divisors (909140462818560).

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

238798193437440 is a wasteful number, since it uses less digits than its factorization.

238798193437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 238798193437440 in words is "two hundred thirty-eight trillion, seven hundred ninety-eight billion, one hundred ninety-three million, four hundred thirty-seven thousand, four hundred forty".