238318340400 has 1440 divisors, whose sum is σ = 1037695488000. Its totient is φ = 51732172800.

The previous prime is 238318340383. The next prime is 238318340417. The reversal of 238318340400 is 4043813832.

It is a happy number.

238318340400 is a `hidden beast` number, since 2 + 38 + 3 + 183 + 40 + 400 = 666.

238318340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238318340383) and next prime (238318340417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1197579501 + ... + 1197579699.

Almost surely, 2^238318340400 is an apocalyptic number.

238318340400 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 238318340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518847744000).

238318340400 is an abundant number, since it is smaller than the sum of its proper divisors (799377147600).

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

238318340400 is a wasteful number, since it uses less digits than its factorization.

238318340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 238318340400 in words is "two hundred thirty-eight billion, three hundred eighteen million, three hundred forty thousand, four hundred".