238229959494240 has 2304 divisors, whose sum is σ = 1009203795984384. Its totient is φ = 51927008256000.

The previous prime is 238229959494217. The next prime is 238229959494287. The reversal of 238229959494240 is 42494959922832.

238229959494240 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 2 + 9 + 9 + 594 + 9 + 4 + 24 + 0 = 666.

It is a super-2 number, since 2×238229959494240² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 224110967949 + ... + 224110969011.

It is an arithmetic number, because the mean of its divisors is an integer number (438022480896).

Almost surely, 2^{238229959494240} is an apocalyptic number.

238229959494240 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 238229959494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504601897992192).

238229959494240 is an abundant number, since it is smaller than the sum of its proper divisors (770973836490144).

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

238229959494240 is a wasteful number, since it uses less digits than its factorization.

238229959494240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 238229959494240 in words is "two hundred thirty-eight trillion, two hundred twenty-nine billion, nine hundred fifty-nine million, four hundred ninety-four thousand, two hundred forty".