238121994240 has 768 divisors, whose sum is σ = 922306694400. Its totient is φ = 57925435392.

The previous prime is 238121994233. The next prime is 238121994247. The reversal of 238121994240 is 42499121832.

238121994240 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 219 + 9 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (238121994233) and next prime (238121994247).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (238121994247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348640939 + ... + 348641621.

It is an arithmetic number, because the mean of its divisors is an integer number (1200920175).

Almost surely, 2^238121994240 is an apocalyptic number.

238121994240 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 238121994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461153347200).

238121994240 is an abundant number, since it is smaller than the sum of its proper divisors (684184700160).

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

238121994240 is a wasteful number, since it uses less digits than its factorization.

238121994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 238121994240 in words is "two hundred thirty-eight billion, one hundred twenty-one million, nine hundred ninety-four thousand, two hundred forty".