238291382041440 has 1536 divisors, whose sum is σ = 967650826383360. Its totient is φ = 48242751897600.

The previous prime is 238291382041333. The next prime is 238291382041451. The reversal of 238291382041440 is 44140283192832.

It is a super-3 number, since 3×238291382041440³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18462175467 + ... + 18462188373.

It is an arithmetic number, because the mean of its divisors is an integer number (629981006760).

Almost surely, 2^{238291382041440} is an apocalyptic number.

238291382041440 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 238291382041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483825413191680).

238291382041440 is an abundant number, since it is smaller than the sum of its proper divisors (729359444341920).

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

238291382041440 is a wasteful number, since it uses less digits than its factorization.

238291382041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13073 (or 13039 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 238291382041440 in words is "two hundred thirty-eight trillion, two hundred ninety-one billion, three hundred eighty-two million, forty-one thousand, four hundred forty".